## Murat, François

Compute Distance To:
 Author ID: murat.francois Published as: Murat, François; Murat, F.; Murat, Francois more...less Homepage: https://www.ljll.math.upmc.fr/membres/fiches/murat.html External Links: MGP · dblp
 Documents Indexed: 156 Publications since 1971 5 Contributions as Editor Co-Authors: 88 Co-Authors with 148 Joint Publications 2,163 Co-Co-Authors
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### Co-Authors

 13 single-authored 24 Boccardo, Lucio 12 Casado-Díaz, Juan 9 Giachetti, Daniela 9 Puel, Jean-Pierre 8 Chacón Rebollo, Tomás 8 Charalambakis, Nicolas Ch. 8 Francfort, Gilles A. 8 Sili, Ali 7 Dal Maso, Gianni 7 Tartar, Luc C. 6 Bernardi, Christine 6 Lewandowski, Roger 6 Mercaldo, Anna 6 Mokrane, Abdelhafid 5 Betta, Maria Francesca 5 Girault, Vivette 5 Martínez-Aparicio, Pedro J. 5 Mignot, Fulbert 5 Porretta, Alessio 5 Porzio, Maria Michaela 4 Bensoussan, Alain 4 Cioranescu, Doina 4 Conca, Carlos 4 Luna-Laynez, Manuel 4 Pironneau, Olivier 3 Ball, John MacLeod 3 Blanchard, Dominique 3 Briane, Marc 3 Chatzigeorgiou, George 3 Ferone, Vincenzo 3 Gallouët, Thierry 3 Gaudiello, Antonio 3 Gómez Mármol, Macarena 3 Haraux, Alain 3 Joseph, Anthony 3 Paroni, Roberto 3 Prum, Bernard 3 Rentschler, Rudolf 2 Bègue, Catherine 2 Brahim-Otsmane, Safia 2 Diaz Diaz, Jesus Ildefonso 2 Farroni, Fernando 2 Freddi, Lorenzo 2 Grenon, Nathalie 2 Lions, Jacques-Louis 2 Mokobodzki, Gabriel 2 Monneau, Régis 2 Mossino, Jacqueline 2 Orsina, Luigi 2 Prignet, Alain 2 Redwane, Hicham 2 Sbordone, Carlo 1 Allaire, Grégoire 1 Alvino, Angelo 1 Amirat, Youcef Aït 1 Azaïez, Mejdi 1 Barles, Guy 1 Ben Belgacem, Faker 1 Blouza, Adel 1 Chacon, Tomas 1 Dacorogna, Bernard 1 Dall’Aglio, Andrea 1 Danaila, Ionut 1 Dib, Séréna 1 Donato, Patrizia 1 Finzi Vita, Stefano 1 Giova, Raffaella 1 Guibé, Olivier 1 Hamdache, Kamel 1 Hamour, Boussad 1 Hecht, Frédéric 1 Joly, Pascal 1 Kaber, Sidimahmoud 1 Kacimi, Hayat 1 Lederer, Johannes 1 LeFloch, Philippe Gerard 1 Lucquin, Brigitte 1 Moscariello, Gioconda 1 Peral Alonso, Ireneo 1 Postel, Marie 1 Salgado, Abner J. 1 Sayah, Toni 1 Simon, Jacques 1 Tatar, Luc 1 Tchou, Nicoletta Anna 1 Timofte, Claudia 1 Trombetti, Cristina 1 Zuazua, Enrique
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### Serials

 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Comptes Rendus de l’Académie des Sciences. Série I 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 4 Archive for Rational Mechanics and Analysis 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Journal of Differential Equations 4 Journal of Functional Analysis 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 SIAM Journal on Mathematical Analysis 3 Numerische Mathematik 3 Ricerche di Matematica 3 Asymptotic Analysis 3 Communications in Partial Differential Equations 3 Progress in Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications 2 International Journal of Solids and Structures 2 Portugaliae Mathematica 2 Quarterly of Applied Mathematics 2 SIAM Journal on Numerical Analysis 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Potential Analysis 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Bollettino dell’Unione Matematica Italiana. Series IX 2 Bollettino dell’Unione Matematica Italiana 1 Communications on Pure and Applied Mathematics 1 International Journal of Engineering Science 1 Applied Mathematics and Optimization 1 Gazette des Mathématiciens 1 Japanese Journal of Mathematics. New Series 1 Le Matematiche 1 Proceedings of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Notices of the American Mathematical Society 1 Calculus of Variations and Partial Differential Equations 1 Séminaire Équations aux Dérivées Partielles 1 Discrete and Continuous Dynamical Systems 1 Mathematics and Mechanics of Solids 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Journal of Mathematical Fluid Mechanics 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 Quaderni di Matematica 1 Networks and Heterogeneous Media
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### Fields

 128 Partial differential equations (35-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 25 Mechanics of deformable solids (74-XX) 14 Operator theory (47-XX) 13 Functional analysis (46-XX) 13 Fluid mechanics (76-XX) 10 Numerical analysis (65-XX) 5 General and overarching topics; collections (00-XX) 4 Potential theory (31-XX) 3 Real functions (26-XX) 2 History and biography (01-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

137 Publications have been cited 4,439 times in 2,901 Documents Cited by Year
Definition and weak stability of nonconservative products. Zbl 0853.35068
Dal Maso, Gianni; LeFloch, Philippe G.; Murat, François
1995
Compacite par compensation. Zbl 0399.46022
Murat, Francois
1978
Renormalization solutions of elliptic equations with general measure data. Zbl 0958.35045
Dal Maso, Gianni; Murat, François; Orsina, Luigi; Prignet, Alain
1999
Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations. Zbl 0783.35020
Boccardo, Lucio; Murat, François
1992
$$W^{1,p}$$-quasiconvexity and variational problems for multiple integrals. Zbl 0549.46019
Ball, J. M.; Murat, F.
1984
Existence of bounded solutions for non linear elliptic unilateral problems. Zbl 0687.35042
Boccardo, L.; Murat, F.; Puel, J. P.
1988
Renormalised solutions of nonlinear parabolic problems with $$L^1$$ data: Existence and uniqueness. Zbl 0895.35050
Blanchard, D.; Murat, F.
1997
$$H$$-convergence. Zbl 0920.35019
Murat, François; Tartar, Luc
1997
Un terme etrange venu d’ailleurs. Zbl 0496.35030
Cioranescu, D.; Murat, F.
1982
$$L^{\infty{}}$$ estimate for some nonlinear elliptic partial differential equations and application to an existence result. Zbl 0785.35033
Boccardo, L.; Murat, F.; Puel, J.-P.
1992
The embedding of the positive cone of $$H^{-1}$$ in $$W^{-1,\,q}$$ is compact for all $$q<2$$ (with a remark of Haim Brezis). (L’injection du cône positif de $$H^{-1}$$ dans $$W^{1,q}$$ est compacte pour tout $$q<2$$ (avec remarque par Haim Brezis).) Zbl 0471.46020
Murat, Francois
1981
Homogenization and optimal bounds in linear elasticity. Zbl 0604.73013
Francfort, G. A.; Murat, F.
1986
Compacite par compensation: condition necessaire et suffisante de continuite faible sous une hypothèse de rang constant. Zbl 0464.46034
Murat, Francois
1981
Existence and uniqueness of a renormalized solution for a fairly general class of nonlinear parabolic problems. Zbl 0998.35030
Blanchard, Dominique; Murat, François; Redwane, Hicham
2001
On a nonlinear partial differential equation having natural growth terms and unbounded solution. Zbl 0696.35042
Bensoussan, A.; Boccardo, L.; Murat, F.
1988
Existence and regularity of renormalized solutions for some elliptic problems involving derivatives of nonlinear terms. Zbl 0803.35046
Boccardo, L.; Giachetti, D.; Diaz, J. I.; Murat, F.
1993
Résultats d’existence pour certains problèmes elliptiques quasilinéaires. (Existence results for certain quasilinear elliptic problems). Zbl 0557.35051
Boccardo, L.; Murat, F.; Puel, J. P.
1984
Existence de solutions non bornées pour certaines équations quasi- linéaires. Zbl 0524.35041
Boccardo, L.; Murat, F.; Puel, J. P.
1982
Correctors for the homogenization of the wave and heat equations. Zbl 0837.35016
Brahim-Otsmane, S.; Francfort, G. A.; Murat, F.
1992
The Stokes and Navier-Stokes equations with boundary conditions involving the pressure. Zbl 0826.35093
Conca, C.; Murat, F.; Pironneau, O.
1994
A strange term coming from nowhere. Zbl 0912.35020
Cioranescu, Doina; Murat, François
1997
Nonlinear problems having natural growth in the gradient: an existence result when the source terms are small. Zbl 1158.35358
Ferone, Vincenzo; Murat, François
2000
Existence results for some quasilinear parabolic equations. Zbl 0705.35066
Boccardo, Lucio; Murat, François; Puel, Jean-Pierre
1989
Remarks on Chacon’s biting lemma. Zbl 0678.46023
Ball, J. M.; Murat, F.
1989
Uniqueness and the maximum principle for quasilinear elliptic equations with quadratic growth conditions. Zbl 0859.35031
Barles, Guy; Murat, François
1995
Almost everywhere convergence of gradients of solutions to nonlinear elliptic systems. Zbl 0890.35039
Dal Maso, Gianni; Murat, François
1998
Asymptotic behaviour and correctors for Dirichlet problems in perforated domains with homogeneous monotone operators. Zbl 0899.35007
Dal Maso, Gianni; Murat, François
1997
Contre-exemples pour divers problèmes ou le contrôle intervient dans les coefficients. Zbl 0349.49005
Murat, Francois
1977
Existence de solutions faibles pour des équations elliptiques quasi- linéaires à croissance quadratique. (Existence of weak solutions for quasilinear elliptic equations with quadratic growth). Zbl 0588.35041
Boccardo, L.; Murat, F.; Puel, J.-P.
1983
Étude de problèmes d’optimal design. Zbl 0334.49013
Murat, Francois; Simon, Jacques
1976
Homogenization of the Neumann problem with nonisolated holes. Zbl 0823.35014
Allaire, Grégoire; Murat, François
1993
Uniqueness of renormalized solutions to nonlinear elliptic equations with a lower order term and right-hand side in $$L^1(\Omega)$$. Zbl 1092.35032
Betta, M. F.; Mercaldo, A.; Murat, F.; Porzio, M. M.
2002
Definition and existence of renormalized solutions of elliptic equations with general measure data. Zbl 0887.35057
Dal Maso, Gianni; Murat, François; Orsina, Luigi; Prignet, Alain
1997
An elliptic problem with a lower order term having singular behaviour. Zbl 1173.35469
Giachetti, Daniela; Murat, François
2009
Les équations de Stokes et de Navier-Stokes avec des conditions aux limites sur la pression. (On Stokes and Navier-Stokes equations with boundary condition on the pressure). Zbl 0687.35069
Begue, C.; Conca, C.; Murat, F.; Pironneau, O.
1988
Unicité de la solution de certaines équations elliptiques non linéaires. (Uniqueness of the solution of some nonlinear elliptic equations). Zbl 0789.35056
Boccardo, Lucio; Gallouët, Thierry; Murat, François
1992
Un contre-exemple pour le problème du contrôle dans les coefficients. (A counter-example for the control problem in the coefficients.). Zbl 0235.49011
Murat, François
1971
Quasilinear problems having quadratic growth in the gradient: An existence result when the source term is small. Zbl 0917.35039
Ferone, Vincenzo; Murat, François
1998
Existence and a priori estimate for elliptic problems with subquadratic gradient dependent terms. Zbl 1149.35352
Grenon, Nathalie; Murat, François; Porretta, Alessio
2005
Oscillations and energy densities in the wave equation. Zbl 0803.35010
Francfort, G. A.; Murat, F.
1992
Asymptotic behaviour and correctors for linear Dirichlet problems with simultaneously varying operators and domains. Zbl 1110.35008
Dal Maso, Gianni; Murat, François
2004
Remarques sur l’homogénéisation de certains problèmes quasi- linéaires. Zbl 0524.35042
Boccardo, Lucio; Murat, François
1982
Optimality conditions and homogenization. Zbl 0569.49015
Murat, F.; Tartar, L.
1985
Existence of renormalized solutions to nonlinear elliptic equations with lower-order terms and right-hand side a measure. Zbl 1165.35365
Betta, Maria Francesca; Mercaldo, Anna; Murat, François; Porzio, Maria Michaela
2003
Asymptotic behavior of solutions of the anisotropic heterogeneous linearized elasticity system in thin cylinders. (Comportement asymptotique des solutions du système de l’élasticité linéarisée anisotrope hétérogène dans des cylindres minces.) Zbl 0929.74010
Murat, François; Sili, Ali
1999
A priori estimates and existence for elliptic equations with gradient dependent terms. Zbl 1305.35058
Grenon, Nathalie; Murat, François; Porretta, Alessio
2014
Uniqueness results for nonlinear elliptic equations with a lower order term. Zbl 1125.35343
Betta, M. Francesca; Mercaldo, Anna; Murat, François; Porzio, M. Michaela
2005
Calculus of variations and homogenization. Zbl 0939.35019
Murat, François; Tartar, Luc
1997
Variation d’un point de retournement par rapport au domaine. Zbl 0422.35039
Mignot, F.; Murat, F.; Puel, J. P.
1979
A semilinear elliptic equation with a mild singularity at $$u=0$$: existence and homogenization. Zbl 1371.35112
Giachetti, Daniela; Martínez-Aparicio, Pedro J.; Murat, François
2017
A nouveau sur les équations de Stokes et de Navier-Stokes avec des conditions aux limites sur la pression. (Going back to Stokes and Navier- Stokes equations with boundary conditions on the pressure). Zbl 0613.76029
Bègue, Catherine; Conca, Carlos; Murat, François; Pironneau, Olivier
1987
Stability properties, existence, and nonexistence of renormalized solutions for elliptic equations with measure data. Zbl 1129.35397
Murat, F.; Porretta, A.
2002
Global weak solutions to equations of motion for magnetic fluids. Zbl 1162.76408
Amirat, Youcef; Hamdache, Kamel; Murat, François
2008
On the junction of elastic plates and beams. Zbl 1032.74037
Gaudiello, Antonio; Monneau, Régis; Mossino, Jacqueline; Murat, François; Sili, Ali
2002
Quelques propriétés des opérateurs elliptiques quasi linéaires. (Some properties of quasilinear elliptic operators). Zbl 0696.35050
Boccardo, Lucio; Murat, François; Puel, Jean-Pierre
1988
On a turbulent system with unbounded eddy viscosities. Zbl 1013.35068
Gallouët, T.; Lederer, J.; Lewandowski, R.; Murat, F.; Tartar, L.
2003
Junction of elastic plates and beams. Zbl 1133.35322
Gaudiello, Antonio; Monneau, Régis; Mossino, Jacqueline; Murat, François; Sili, Ali
2007
The div-curl lemma “trente ans après”: an extension and an application to the $$G$$-convergence of unbounded monotone operators. Zbl 1183.35012
Briane, M.; Casado-Díaz, J.; Murat, F.
2009
Existence and uniqueness of a renormalized solution for a fairly general nonlinear parabolic problem. (Existence et unicité de la solution renormalisée d’un problème parabolique non linéaire assez général.) Zbl 0935.35073
Blanchard, Dominique; Murat, François; Redwane, Hicham
1999
Existence of a solution for a weaker form of a nonlinear elliptic equation. Zbl 0703.35063
Boccardo, L.; Diaz, J. I.; Giachetti, D.; Murat, F.
1989
Finite elements approximation of second order linear elliptic equations in divergence form with right-hand side in $$L^1$$. Zbl 1144.65072
Casado-Díaz, J.; Chacón Rebollo, T.; Girault, V.; Gómez Mármol, M.; Murat, F.
2007
Théorèmes de non-existence pour des problèmes de contrôle dans les coefficients. (Non-existence theorems for the control system in the coefficients.). Zbl 0235.49012
Murat, François
1972
Nonlinear elliptic equations with natural growth in the gradient and source terms in Lorentz spaces. Zbl 1318.35031
Ferone, Vincenzo; Murat, François
2014
$$H$$ convergence for quasi-linear elliptic equations with quadratic growth. Zbl 0795.35008
Bensoussan, A.; Boccardo, L.; Murat, F.
1992
A unified presentation of two existence results for problems with natural growth. Zbl 0806.35033
Boccardo, L.; Gallouët, T.; Murat, F.
1993
Existence and uniqueness results for nonlinear elliptic problems with a lower order term and measure datum. Zbl 1016.35026
Betta, M. Francesca; Mercaldo, Anna; Murat, François; Porzio, M. Michaela
2002
Homogenization of the brush problem with a source term in $$L^{1}$$. Zbl 1371.35067
Gaudiello, Antonio; Guibé, Olivier; Murat, François
2017
The Neumann sieve. Zbl 0586.35037
Murat, F.
1985
Homogenization of elliptic equations with principal part not in divergence form and Hamiltonian with quadratic growth. Zbl 0602.35030
Bensoussan, A.; Boccardo, L.; Murat, F.
1986
Monotone operators in divergence form with $$X$$-dependent multivalued graphs. Zbl 1115.35047
Francfort, Gilles; Murat, François; Tatar, Luc
2004
A model for two coupled turbulent fluids. I: Analysis of the system. Zbl 1034.35106
Bernardi, C.; Chacón Rebollo, T.; Lewandowski, R.; Murat, F.
2002
A model for two coupled turbulent fluids. II: Numerical analysis of a spectral discretization. Zbl 1129.76327
Bernardi, C.; Chacón Rebollo, T.; Lewandowski, R.; Murat, F.
2003
Compacite par compensation II. Zbl 0427.35008
Murat, F.
1979
On the optimality of certain Sobolev exponents for the weak continuity of determinants. Zbl 0769.46025
Dacorogna, B.; Murat, F.
1992
Fourth-order moments of nonnegative measures on $$S^ 2$$ and applications. Zbl 0869.73006
Francfort, Gilles; Murat, François; Tartar, Luc
1995
A model for two coupled turbulent fluids. III: Numerical approximation by finite elements. Zbl 1129.76326
Bernardi, C.; Chacón Rebollo, T.; Gómez Mármol, M.; Lewandowski, R.; Murat, F.
2004
Nouveaux résultats de convergence dans des problèmes unilateraux. Zbl 0484.49009
Boccardo, L.; Murat, F.
1982
Definition, existence, stability and uniqueness of the solution to a semilinear elliptic problem with a strong singularity at $$u = 0$$. Zbl 1407.35076
Giachetti, Daniela; Martínez-Aparicio, Pedro J.; Murat, François
2018
Un terme etrange venu d’ailleurs. II. Zbl 0498.35034
Cioranescu, Doina; Murat, Francois
1982
Homogenization problems of a hollow cylinder made of elastic materials with discontinuous properties. Zbl 1169.74532
Chatzigeorgiou, George; Charalambakis, Nicolas; Murat, Francois
2008
Uniqueness results for pseudomonotone problems with $$p>2$$. Zbl 1118.35307
Casado-Díaz, Juan; Murat, François; Porretta, Alessio
2007
Homogenization of nonlinear unilateral problems. Zbl 0749.49009
Boccardo, Lucio; Murat, François
1991
A property of nonlinear elliptic equations when the right-hand side is a measure. Zbl 0807.35034
Boccardo, Lucio; Murat, François
1994
The Lewy-Stampacchia inequality for bilateral problems. Zbl 1121.35066
Mokrane, Abdelhafid; Murat, François
2004
Monotonous problems in cylinders consisting of heterogeneous material with vanishing diameter. (Problèmes monotones dans des cylindres de faible diamètre formés de matériaux hétérogènes.) Zbl 0833.35140
Murat, François; Sili, Ali
1995
Homogenization of monotone operators in divergence form with $$x$$-dependent multivalued graphs. Zbl 1180.35077
Francfort, Gilles A.; Murat, François; Tartar, Luc
2009
Nonlocal effects in the passage from 3d to 1d in linearized, anisotropic, heterogeneous elasticity. (Effets non locaux dans le passage 3d-1d en élasticité linéairisée anisotrope hétérogène.) Zbl 0962.74009
Murat, François; Sili, Ali
2000
Homogenization of stratified thermoviscoplastic materials. Zbl 1144.74364
Charalambakis, Nicolas; Murat, François
2006
Remarks on rank-one convexity and quasi convexity. Zbl 0751.49005
Ball, J. M.; Murat, F.
1991
Anisotropic inhomogeneous rectangular thin-walled beams. Zbl 1170.49014
Freddi, Lorenzo; Murat, François; Paroni, Roberto
2009
Weak solutions to the initial-boundary value problem for the shearing of non-homogeneous thermoviscoplastic materials. Zbl 0686.73007
Charalambakis, Nicolas; Murat, François
1989
The Lewy–Stampacchia inequality for the obstacle problem with quadratic growth in the gradient. Zbl 1105.35041
Murat, F.; Mokrane, A.
2005
Analysis of a coupled fluid-structure model with applications to hemodynamics. Zbl 1343.35184
Chacón Rebollo, T.; Girault, V.; Murat, F.; Pironneau, O.
2016
The diffusion equation in a notched beam. Zbl 1136.35323
Casado-Díaz, Juan; Luna-Laynez, Manuel; Murat, François
2008
Homogenization and corrector for the wave equation in domains with small holes. Zbl 0807.35077
Cioranescu, D.; Donato, P.; Murat, F.; Zuazua, E.
1991
Finite element discretization of Darcy’s equations with pressure-dependent porosity. Zbl 1271.76166
Girault, Vivette; Murat, François; Salgado, Abner
2010
Asymptotic behavior of diffusion problems in a domain made of two cylinders of different diameters and lengths. Zbl 1188.35058
Casado-Díaz, Juan; Luna-Laynez, Manuel; Murat, François
2004
Finite element methods for Darcy’s problem coupled with the heat equation. Zbl 1393.35159
Bernardi, Christine; Dib, Séréna; Girault, Vivette; Hecht, Frédéric; Murat, François; Sayah, Toni
2018
Homogenization of renormalized solutions of elliptic equations. Zbl 0774.35007
Murat, François
1991
Dirichlet problems in perforated domains for homogeneous monotone operators on $$H_ 0^ 1$$. Zbl 0884.47026
Dal Maso, Gianni; Murat, François
1994
Semilinear problems with right-hand sides singular at $$u=0$$ which change sign. Zbl 1466.35111
2021
A remark about the periodic homogenization of certain composite fibered media. Zbl 1441.35028
Murat, François; Sili, Ali
2020
Definition, existence, stability and uniqueness of the solution to a semilinear elliptic problem with a strong singularity at $$u = 0$$. Zbl 1407.35076
Giachetti, Daniela; Martínez-Aparicio, Pedro J.; Murat, François
2018
Finite element methods for Darcy’s problem coupled with the heat equation. Zbl 1393.35159
Bernardi, Christine; Dib, Séréna; Girault, Vivette; Hecht, Frédéric; Murat, François; Sayah, Toni
2018
Homogenization of a Dirichlet semilinear elliptic problem with a strong singularity at $$u=0$$ in a domain with many small holes. Zbl 1387.35030
Giachetti, Daniela; Martínez-Aparicio, Pedro J.; Murat, François
2018
On the definition of the solution to a semilinear elliptic problem with a strong singularity at $$u = 0$$. Zbl 1408.35026
Giachetti, Daniela; Martínez-Aparicio, Pedro J.; Murat, François
2018
A new algorithm of proper generalized decomposition for parametric symmetric elliptic problems. Zbl 1447.35145
Azaïez, M.; Ben Belgacem, F.; Casado-Díaz, J.; Rebollo, T. Chacón; Murat, F.
2018
A semilinear elliptic equation with a mild singularity at $$u=0$$: existence and homogenization. Zbl 1371.35112
Giachetti, Daniela; Martínez-Aparicio, Pedro J.; Murat, François
2017
Homogenization of the brush problem with a source term in $$L^{1}$$. Zbl 1371.35067
Gaudiello, Antonio; Guibé, Olivier; Murat, François
2017
Increase of powers in the lower order term: a come back when the source term has a poor summability. Zbl 1391.35135
Boccardo, L.; Murat, F.
2017
Analysis of a coupled fluid-structure model with applications to hemodynamics. Zbl 1343.35184
Chacón Rebollo, T.; Girault, V.; Murat, F.; Pironneau, O.
2016
Advances in the study of singular semilinear elliptic problems. Zbl 1403.35109
Giachetti, Daniela; Martínez-Aparicio, Pedro J.; Murat, François
2016
Quasilinear problems involving a perturbation with quadratic growth in the gradient and a noncoercive zeroth order term. Zbl 1341.35067
2016
A priori estimates and existence for elliptic equations with gradient dependent terms. Zbl 1305.35058
Grenon, Nathalie; Murat, François; Porretta, Alessio
2014
Nonlinear elliptic equations with natural growth in the gradient and source terms in Lorentz spaces. Zbl 1318.35031
Ferone, Vincenzo; Murat, François
2014
Lewy-Stampacchia’s inequality for a Leray-Lions operator with natural growth in the gradient. Zbl 1301.49025
Mokrane, A.; Murat, F.
2014
The behavior of a beam fixed on small sets of one of its extremities. Zbl 1299.74102
Casado-Díaz, Juan; Luna-Laynez, Manuel; Murat, Francois
2014
Homogenization and correctors for monotone problems in cylinders of small diameter. Zbl 1288.35040
Casado-Díaz, Juan; Murat, François; Sili, Ali
2013
Finite element discretization of Darcy’s equations with pressure-dependent porosity. Zbl 1271.76166
Girault, Vivette; Murat, François; Salgado, Abner
2010
Stability by homogenization of thermoviscoplastic problems. Zbl 1253.74087
Charalambakis, Nicolas; Murat, Francois
2010
Saint-Venant’s theory for beams with multi-connected cross-section: justification and error estimate. Zbl 1370.74087
Freddi, Lorenzo; Murat, François; Paroni, Roberto
2010
Two stable-by-homogenization models in simple shearing of rate-dependent non-homogeneous materials. Zbl 1425.74399
Charalambakis, Nicolas; Murat, François
2010
An elliptic problem with a lower order term having singular behaviour. Zbl 1173.35469
Giachetti, Daniela; Murat, François
2009
The div-curl lemma “trente ans après”: an extension and an application to the $$G$$-convergence of unbounded monotone operators. Zbl 1183.35012
Briane, M.; Casado-Díaz, J.; Murat, F.
2009
Homogenization of monotone operators in divergence form with $$x$$-dependent multivalued graphs. Zbl 1180.35077
Francfort, Gilles A.; Murat, François; Tartar, Luc
2009
Anisotropic inhomogeneous rectangular thin-walled beams. Zbl 1170.49014
Freddi, Lorenzo; Murat, François; Paroni, Roberto
2009
Homogenization of a pressurized tube made of elastoplastic materials with discontinuous properties. Zbl 1176.74147
Chatzigeorgiou, George; Charalambakis, Nicolas; Murat, Francois
2009
Global weak solutions to equations of motion for magnetic fluids. Zbl 1162.76408
Amirat, Youcef; Hamdache, Kamel; Murat, François
2008
Homogenization problems of a hollow cylinder made of elastic materials with discontinuous properties. Zbl 1169.74532
Chatzigeorgiou, George; Charalambakis, Nicolas; Murat, Francois
2008
The diffusion equation in a notched beam. Zbl 1136.35323
Casado-Díaz, Juan; Luna-Laynez, Manuel; Murat, François
2008
Semi-strong convergence of sequences satisfying a variational inequality. Zbl 1248.35088
Briane, Marc; Mokobodzki, Gabriel; Murat, François
2008
Junction of elastic plates and beams. Zbl 1133.35322
Gaudiello, Antonio; Monneau, Régis; Mossino, Jacqueline; Murat, François; Sili, Ali
2007
Finite elements approximation of second order linear elliptic equations in divergence form with right-hand side in $$L^1$$. Zbl 1144.65072
Casado-Díaz, J.; Chacón Rebollo, T.; Girault, V.; Gómez Mármol, M.; Murat, F.
2007
Uniqueness results for pseudomonotone problems with $$p>2$$. Zbl 1118.35307
Casado-Díaz, Juan; Murat, François; Porretta, Alessio
2007
Homogenization of stratified thermoviscoplastic materials. Zbl 1144.74364
Charalambakis, Nicolas; Murat, François
2006
Approximation by finite elements, existence and uniqueness for a model of stratified thermoviscoplastic materials. Zbl 1150.74046
Charalambakis, Nicolas; Murat, François
2006
Existence and a priori estimate for elliptic problems with subquadratic gradient dependent terms. Zbl 1149.35352
Grenon, Nathalie; Murat, François; Porretta, Alessio
2005
Uniqueness results for nonlinear elliptic equations with a lower order term. Zbl 1125.35343
Betta, M. Francesca; Mercaldo, Anna; Murat, François; Porzio, M. Michaela
2005
The Lewy–Stampacchia inequality for the obstacle problem with quadratic growth in the gradient. Zbl 1105.35041
Murat, F.; Mokrane, A.
2005
Variations on a strange semi-continuity result. Zbl 1081.47049
Briane, Marc; Mokobodzki, Gabriel; Murat, François
2005
Asymptotic behaviour and correctors for linear Dirichlet problems with simultaneously varying operators and domains. Zbl 1110.35008
Dal Maso, Gianni; Murat, François
2004
Monotone operators in divergence form with $$X$$-dependent multivalued graphs. Zbl 1115.35047
Francfort, Gilles; Murat, François; Tatar, Luc
2004
A model for two coupled turbulent fluids. III: Numerical approximation by finite elements. Zbl 1129.76326
Bernardi, C.; Chacón Rebollo, T.; Gómez Mármol, M.; Lewandowski, R.; Murat, F.
2004
The Lewy-Stampacchia inequality for bilateral problems. Zbl 1121.35066
Mokrane, Abdelhafid; Murat, François
2004
Asymptotic behavior of diffusion problems in a domain made of two cylinders of different diameters and lengths. Zbl 1188.35058
Casado-Díaz, Juan; Luna-Laynez, Manuel; Murat, François
2004
Asymptotic behavior of an elastic beam fixed on a small part of one of its extremities. Zbl 1058.74047
Casado-Díaz, Juan; Luna-Laynez, Manuel; Murat, François
2004
Uniqueness of the Neumann condition and comparison results for Dirichlet pseudo-monotone problems. Zbl 1157.35363
Casado-Díaz, J.; Murat, F.; Porretta, A.
2004
Existence of renormalized solutions to nonlinear elliptic equations with lower-order terms and right-hand side a measure. Zbl 1165.35365
Betta, Maria Francesca; Mercaldo, Anna; Murat, François; Porzio, Maria Michaela
2003
On a turbulent system with unbounded eddy viscosities. Zbl 1013.35068
Gallouët, T.; Lederer, J.; Lewandowski, R.; Murat, F.; Tartar, L.
2003
A model for two coupled turbulent fluids. II: Numerical analysis of a spectral discretization. Zbl 1129.76327
Bernardi, C.; Chacón Rebollo, T.; Lewandowski, R.; Murat, F.
2003
A generalized strange term in Signorini’s type problems. Zbl 1040.35008
Conca, Carlos; Murat, François; Timofte, Claudia
2003
A chain rule formula for the composition of a vector-valued function by a piecewise smooth function. Zbl 1179.46037
Murat, François; Trombetti, Cristina
2003
Uniqueness of renormalized solutions to nonlinear elliptic equations with a lower order term and right-hand side in $$L^1(\Omega)$$. Zbl 1092.35032
Betta, M. F.; Mercaldo, A.; Murat, F.; Porzio, M. M.
2002
Stability properties, existence, and nonexistence of renormalized solutions for elliptic equations with measure data. Zbl 1129.35397
Murat, F.; Porretta, A.
2002
On the junction of elastic plates and beams. Zbl 1032.74037
Gaudiello, Antonio; Monneau, Régis; Mossino, Jacqueline; Murat, François; Sili, Ali
2002
Existence and uniqueness results for nonlinear elliptic problems with a lower order term and measure datum. Zbl 1016.35026
Betta, M. Francesca; Mercaldo, Anna; Murat, François; Porzio, M. Michaela
2002
A model for two coupled turbulent fluids. I: Analysis of the system. Zbl 1034.35106
Bernardi, C.; Chacón Rebollo, T.; Lewandowski, R.; Murat, F.
2002
Existence and uniqueness of a renormalized solution for a fairly general class of nonlinear parabolic problems. Zbl 0998.35030
Blanchard, Dominique; Murat, François; Redwane, Hicham
2001
Nonlinear problems having natural growth in the gradient: an existence result when the source terms are small. Zbl 1158.35358
Ferone, Vincenzo; Murat, François
2000
Nonlocal effects in the passage from 3d to 1d in linearized, anisotropic, heterogeneous elasticity. (Effets non locaux dans le passage 3d-1d en élasticité linéairisée anisotrope hétérogène.) Zbl 0962.74009
Murat, François; Sili, Ali
2000
A model for two coupled turbulent fluids. Zbl 1009.76044
Bernardi, C.; Chacón Rebollo, T.; Lewandowski, R.; Murat, F.
2000
Renormalization solutions of elliptic equations with general measure data. Zbl 0958.35045
Dal Maso, Gianni; Murat, François; Orsina, Luigi; Prignet, Alain
1999
Asymptotic behavior of solutions of the anisotropic heterogeneous linearized elasticity system in thin cylinders. (Comportement asymptotique des solutions du système de l’élasticité linéarisée anisotrope hétérogène dans des cylindres minces.) Zbl 0929.74010
Murat, François; Sili, Ali
1999
Existence and uniqueness of a renormalized solution for a fairly general nonlinear parabolic problem. (Existence et unicité de la solution renormalisée d’un problème parabolique non linéaire assez général.) Zbl 0935.35073
Blanchard, Dominique; Murat, François; Redwane, Hicham
1999
Existence of a solution for a model of two coupled turbulent fluids. (Existence d’une solution pour un modèle de deux fluides turbulents couplés.) Zbl 0930.35131
Bernardi, Christine; Chacon, Tomas; Lewandowski, Roger; Murat, François
1999
Almost everywhere convergence of gradients of solutions to nonlinear elliptic systems. Zbl 0890.35039
Dal Maso, Gianni; Murat, François
1998
Quasilinear problems having quadratic growth in the gradient: An existence result when the source term is small. Zbl 0917.35039
Ferone, Vincenzo; Murat, François
1998
A proof of the Lewy-Stampacchia’s inequality by a penalization method. Zbl 0918.35058
Mokrane, A.; Murat, F.
1998
Renormalised solutions of nonlinear parabolic problems with $$L^1$$ data: Existence and uniqueness. Zbl 0895.35050
Blanchard, D.; Murat, F.
1997
$$H$$-convergence. Zbl 0920.35019
Murat, François; Tartar, Luc
1997
A strange term coming from nowhere. Zbl 0912.35020
Cioranescu, Doina; Murat, François
1997
Asymptotic behaviour and correctors for Dirichlet problems in perforated domains with homogeneous monotone operators. Zbl 0899.35007
Dal Maso, Gianni; Murat, François
1997
Definition and existence of renormalized solutions of elliptic equations with general measure data. Zbl 0887.35057
Dal Maso, Gianni; Murat, François; Orsina, Luigi; Prignet, Alain
1997
Calculus of variations and homogenization. Zbl 0939.35019
Murat, François; Tartar, Luc
1997
On the control of coefficients in partial differential equations. Zbl 0913.35020
Murat, François; Tartar, Luc
1997
A corrector result for $$H$$-converging parabolic problems with time-dependent coefficients. Zbl 1005.35015
Dall&rsquo;Aglio, Andrea; Murat, François
1997
Quasilinear relaxed Dirichlet problems. Zbl 0863.35041
Finzi Vita, Stefano; Murat, François; Tchou, Nicoletta A.
1996
Definition and weak stability of nonconservative products. Zbl 0853.35068
Dal Maso, Gianni; LeFloch, Philippe G.; Murat, François
1995
Uniqueness and the maximum principle for quasilinear elliptic equations with quadratic growth conditions. Zbl 0859.35031
Barles, Guy; Murat, François
1995
Fourth-order moments of nonnegative measures on $$S^ 2$$ and applications. Zbl 0869.73006
Francfort, Gilles; Murat, François; Tartar, Luc
1995
Monotonous problems in cylinders consisting of heterogeneous material with vanishing diameter. (Problèmes monotones dans des cylindres de faible diamètre formés de matériaux hétérogènes.) Zbl 0833.35140
Murat, François; Sili, Ali
1995
The Stokes and Navier-Stokes equations with boundary conditions involving the pressure. Zbl 0826.35093
Conca, C.; Murat, F.; Pironneau, O.
1994
A property of nonlinear elliptic equations when the right-hand side is a measure. Zbl 0807.35034
Boccardo, Lucio; Murat, François
1994
Dirichlet problems in perforated domains for homogeneous monotone operators on $$H_ 0^ 1$$. Zbl 0884.47026
Dal Maso, Gianni; Murat, François
1994
Existence and regularity of renormalized solutions for some elliptic problems involving derivatives of nonlinear terms. Zbl 0803.35046
Boccardo, L.; Giachetti, D.; Diaz, J. I.; Murat, F.
1993
Homogenization of the Neumann problem with nonisolated holes. Zbl 0823.35014
Allaire, Grégoire; Murat, François
1993
A unified presentation of two existence results for problems with natural growth. Zbl 0806.35033
Boccardo, L.; Gallouët, T.; Murat, F.
1993
Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations. Zbl 0783.35020
Boccardo, Lucio; Murat, François
1992
$$L^{\infty{}}$$ estimate for some nonlinear elliptic partial differential equations and application to an existence result. Zbl 0785.35033
Boccardo, L.; Murat, F.; Puel, J.-P.
1992
Correctors for the homogenization of the wave and heat equations. Zbl 0837.35016
Brahim-Otsmane, S.; Francfort, G. A.; Murat, F.
1992
Unicité de la solution de certaines équations elliptiques non linéaires. (Uniqueness of the solution of some nonlinear elliptic equations). Zbl 0789.35056
Boccardo, Lucio; Gallouët, Thierry; Murat, François
1992
Oscillations and energy densities in the wave equation. Zbl 0803.35010
Francfort, G. A.; Murat, F.
1992
$$H$$ convergence for quasi-linear elliptic equations with quadratic growth. Zbl 0795.35008
Bensoussan, A.; Boccardo, L.; Murat, F.
1992
On the optimality of certain Sobolev exponents for the weak continuity of determinants. Zbl 0769.46025
Dacorogna, B.; Murat, F.
1992
Homogenization of nonlinear unilateral problems. Zbl 0749.49009
Boccardo, Lucio; Murat, François
1991
Remarks on rank-one convexity and quasi convexity. Zbl 0751.49005
Ball, J. M.; Murat, F.
1991
Homogenization and corrector for the wave equation in domains with small holes. Zbl 0807.35077
Cioranescu, D.; Donato, P.; Murat, F.; Zuazua, E.
1991
Homogenization of renormalized solutions of elliptic equations. Zbl 0774.35007
Murat, François
1991
A generalization of a theorem of H.Brezis & F.E.Browder and applications to some unilateral problems. Zbl 0716.46032
Boccardo, L.; Giachetti, D.; Murat, F.
1990
Existence results for some quasilinear parabolic equations. Zbl 0705.35066
Boccardo, Lucio; Murat, François; Puel, Jean-Pierre
1989
...and 37 more Documents
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### Cited by 2,720 Authors

 64 Murat, François 50 Casado-Díaz, Juan 49 Boccardo, Lucio 38 Coclite, Giuseppe Maria 29 Briane, Marc 28 Orsina, Luigi 28 Porretta, Alessio 27 Mai Duc Thanh 26 Dumbser, Michael 26 Parés Madroñal, Carlos 26 Peral Alonso, Ireneo 26 Redwane, Hicham 25 Abdellaoui, Boumediene 25 Benkirane, Abdelmoujib 24 Dal Maso, Gianni 23 Di Ruvo, Lorenzo 21 Chen, Gui-Qiang G. 21 Lu, Yunguang 21 Martínez-Aparicio, Pedro J. 21 Pedregal, Pablo 20 Arcoya, David 20 Bennouna, Jaouad 20 Castro, Manuel J. 20 Sarrico, Carlos Orlando R. 19 Blanchard, Dominique 19 Fonseca, Irene 19 Mercaldo, Anna 18 Klimsiak, Tomasz 18 LeFloch, Philippe Gerard 17 Gaudiello, Antonio 17 Guibé, Olivier 17 Porzio, Maria Michaela 16 Allaire, Grégoire 16 Kogut, Peter I. 16 Müller, Stefan 16 Petitta, Francesco 16 Segura de León, Sergio 15 Donato, Patrizia 15 Giachetti, Daniela 14 Azroul, Elhoussine 14 Bulíček, Miroslav 14 Buttazzo, Giuseppe 14 Carmona Tapia, Jose 13 Betta, Maria Francesca 13 Castro-Díaz, Manuel Jesús 13 Dall’Aglio, Andrea 13 El Moumni, Mostafa 13 Leonori, Tommaso 13 Rhoudaf, Mohamed 13 Visintin, Augusto 12 Bidaut-Veron, Marie-Françoise 12 Calvo-Jurado, Carmen 12 Conca, Carlos 12 Conti, Sergio 12 Fernández-Nieto, Enrique Domingo 12 Francfort, Gilles A. 12 Paroni, Roberto 11 Abdulle, Assyr 11 Diaz Diaz, Jesus Ildefonso 11 Feireisl, Eduard 11 Luna-Laynez, Manuel 11 Mingione, Giuseppe 11 Oliva, Francescantonio 11 Toro, Eleuterio F. 11 Véron, Laurent 11 Wittbold, Petra 10 Abreu Goncalves, Jose Valdo 10 Gwiazda, Piotr 10 Milton, Graeme Walter 10 Nguyen Cong Phuc 10 Sili, Ali 10 Squassina, Marco 10 Zou, Weilin 9 Akdim, Youssef 9 Amirat, Youcef Aït 9 Ball, John MacLeod 9 Chacón Rebollo, Tomás 9 Cuong, Dao Huy 9 Gallouët, Thierry 9 Klingenberg, Christian 9 Kohn, Robert Vita 9 Kovalevsky, Alexander Albertovich 9 Málek, Josef 9 Miyagaki, Olimpio Hiroshi 9 Novotný, Antonín 9 Panov, Evgeniy Yu. 9 Sciunzi, Berardino 9 Shaposhnikova, Tatiana A. 9 Sun, Meina 9 Sychev, Mikhail A. 9 Tağıyev, Rafiq Qäländär oğlu 8 Abdellaoui, Mohammed Amin 8 Aberqi, Ahmed 8 Attar, Ahmed 8 Berthon, Christophe 8 Braides, Andrea 8 Cao, Liqun 8 Charalambakis, Nicolas Ch. 8 Chlebicka, Iwona 8 Damlamian, Alain ...and 2,620 more Authors
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### Cited in 345 Serials

 148 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 120 Journal of Differential Equations 117 Journal of Mathematical Analysis and Applications 113 Archive for Rational Mechanics and Analysis 82 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 77 Calculus of Variations and Partial Differential Equations 66 Journal of Computational Physics 65 Journal de Mathématiques Pures et Appliquées. Neuvième Série 65 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 57 Annali di Matematica Pura ed Applicata. Serie Quarta 54 Journal of Functional Analysis 50 Comptes Rendus. Mathématique. Académie des Sciences, Paris 49 Computer Methods in Applied Mechanics and Engineering 38 Nonlinear Analysis. Theory, Methods & Applications 37 SIAM Journal on Mathematical Analysis 35 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 33 Journal of the Mechanics and Physics of Solids 31 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 31 Nonlinear Analysis. Real World Applications 29 Computers and Fluids 29 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 27 NoDEA. Nonlinear Differential Equations and Applications 25 Journal of Scientific Computing 24 Applied Mathematics and Optimization 24 Ricerche di Matematica 23 Mathematics of Computation 23 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 23 Applied Mathematics and Computation 23 Journal of Elasticity 23 Journal of Mathematical Sciences (New York) 22 Applicable Analysis 21 Discrete and Continuous Dynamical Systems 21 Mediterranean Journal of Mathematics 20 Advanced Nonlinear Studies 19 ZAMP. Zeitschrift für angewandte Mathematik und Physik 19 Journal of Computational and Applied Mathematics 19 Discrete and Continuous Dynamical Systems. Series S 18 RAIRO. Modélisation Mathématique et Analyse Numérique 18 Applied Mathematics Letters 18 Communications in Partial Differential Equations 17 Communications in Mathematical Physics 17 Communications in Contemporary Mathematics 17 Journal of Evolution Equations 17 Journal of Elliptic and Parabolic Equations 16 Applications of Mathematics 16 Mathematics and Mechanics of Solids 15 Numerische Mathematik 15 Applied Numerical Mathematics 15 Communications on Pure and Applied Analysis 15 Complex Variables and Elliptic Equations 14 Manuscripta Mathematica 14 Transactions of the American Mathematical Society 14 Potential Analysis 13 Mathematical Methods in the Applied Sciences 13 Zeitschrift für Analysis und ihre Anwendungen 13 Boundary Value Problems 12 Computers & Mathematics with Applications 12 Quarterly of Applied Mathematics 12 Asymptotic Analysis 12 Networks and Heterogeneous Media 11 SIAM Journal on Numerical Analysis 11 Acta Applicandae Mathematicae 11 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 11 Journal of Mathematical Fluid Mechanics 11 Multiscale Modeling & Simulation 11 S$$\vec{\text{e}}$$MA Journal 10 Journal of Optimization Theory and Applications 10 Rendiconti del Circolo Matemàtico di Palermo. Serie II 10 Chinese Annals of Mathematics. Series B 10 SIAM Journal on Applied Mathematics 10 Milan Journal of Mathematics 10 Structural and Multidisciplinary Optimization 9 International Journal of Engineering Science 9 SIAM Journal on Control and Optimization 9 Revista Matemática Iberoamericana 9 Abstract and Applied Analysis 9 Advances in Calculus of Variations 8 Proceedings of the American Mathematical Society 8 Journal of the European Mathematical Society (JEMS) 8 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 8 Differential Equations 8 Boletim da Sociedade Paranaense de Matemática. Terceira Série 8 Advances in Nonlinear Analysis 7 Journal d’Analyse Mathématique 7 SIAM Journal on Scientific Computing 7 Annales Mathématiques Blaise Pascal 7 Revista Matemática Complutense 7 Acta Mathematica Sinica. English Series 7 Journal of Fixed Point Theory and Applications 7 Communications in Computational Physics 7 Bollettino dell’Unione Matematica Italiana 6 Mathematical Notes 6 Nonlinearity 6 Monatshefte für Mathematik 6 Proceedings of the Japan Academy. Series A 6 Physica D 6 Acta Mathematicae Applicatae Sinica. English Series 6 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 6 The Journal of Geometric Analysis 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences ...and 245 more Serials
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### Cited in 47 Fields

 2,155 Partial differential equations (35-XX) 575 Fluid mechanics (76-XX) 504 Calculus of variations and optimal control; optimization (49-XX) 473 Mechanics of deformable solids (74-XX) 355 Numerical analysis (65-XX) 184 Functional analysis (46-XX) 131 Operator theory (47-XX) 60 Global analysis, analysis on manifolds (58-XX) 58 Probability theory and stochastic processes (60-XX) 58 Statistical mechanics, structure of matter (82-XX) 55 Potential theory (31-XX) 55 Optics, electromagnetic theory (78-XX) 51 Classical thermodynamics, heat transfer (80-XX) 48 Biology and other natural sciences (92-XX) 45 Real functions (26-XX) 31 Measure and integration (28-XX) 29 Systems theory; control (93-XX) 27 Harmonic analysis on Euclidean spaces (42-XX) 26 Operations research, mathematical programming (90-XX) 24 Geophysics (86-XX) 22 Ordinary differential equations (34-XX) 15 Integral equations (45-XX) 13 Functions of a complex variable (30-XX) 13 Differential geometry (53-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Mechanics of particles and systems (70-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Quantum theory (81-XX) 8 Astronomy and astrophysics (85-XX) 7 General topology (54-XX) 7 Computer science (68-XX) 7 Relativity and gravitational theory (83-XX) 7 Information and communication theory, circuits (94-XX) 6 Approximations and expansions (41-XX) 5 General and overarching topics; collections (00-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 History and biography (01-XX) 4 Convex and discrete geometry (52-XX) 3 Topological groups, Lie groups (22-XX) 3 Difference and functional equations (39-XX) 3 Algebraic topology (55-XX) 2 Abstract harmonic analysis (43-XX) 2 Manifolds and cell complexes (57-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Statistics (62-XX)