Edit Profile (opens in new tab) Murat, François Co-Author Distance 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: 158 Publications since 1971, including 1 Additional arXiv Preprint 5 Contributions as Editor Co-Authors: 88 Co-Authors with 150 Joint Publications 2,336 Co-Co-Authors all top 5 Co-Authors 13 single-authored 24 Boccardo, Lucio 12 Casado-Díaz, Juan 9 Giachetti, Daniela 9 Puel, Jean-Pierre 9 Sili, Ali 8 Chacón Rebollo, Tomás 8 Charalambakis, Nicolas Ch. 8 Francfort, Gilles A. 7 Dal Maso, Gianni 7 Tartar, Luc C. 6 Bernardi, Christine 6 Lewandowski, Roger 6 Mercaldo, Anna 6 Mokrane, Abdelhafid 6 Porretta, Alessio 5 Betta, Maria Francesca 5 Girault, Vivette 5 Martínez-Aparicio, Pedro J. 5 Mignot, Fulbert 5 Porzio, Maria Michaela 4 Bensoussan, Alain 4 Cioranescu, Doina 4 Conca, Carlos 4 Gaudiello, Antonio 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 Gómez Mármol, Macarena 3 Haraux, Alain 3 Joseph, Anthony 3 Monneau, Régis 3 Mossino, Jacqueline 3 Paroni, Roberto 3 Prum, Bernard 3 Rentschler, Rudolf 2 Bègue, Catherine 2 Brahim-Otsmane, Safia 2 Díaz Díaz, Jesús Ildefonso 2 Farroni, Fernando 2 Freddi, Lorenzo 2 Grenon, Nathalie 2 Lions, Jacques-Louis 2 Mokobodzki, Gabriel 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 all top 5 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 1 Mathematics in Engineering all top 5 Fields 130 Partial differential equations (35-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 26 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 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 140 Publications have been cited 5,304 times in 3,409 Documents Cited by ▼ Year ▼ Definition and weak stability of nonconservative products. Zbl 0853.35068 Dal Maso, Gianni; LeFloch, Philippe G.; Murat, François 380 1995 Compacite par compensation. Zbl 0399.46022 Murat, Francois 318 1978 Renormalization solutions of elliptic equations with general measure data. Zbl 0958.35045 Dal Maso, Gianni; Murat, François; Orsina, Luigi; Prignet, Alain 301 1999 Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations. Zbl 0783.35020 Boccardo, Lucio; Murat, François 270 1992 \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals. Zbl 0549.46019 Ball, J. M.; Murat, F. 238 1984 Existence of bounded solutions for non linear elliptic unilateral problems. Zbl 0687.35042 Boccardo, L.; Murat, F.; Puel, J. P. 188 1988 \(H\)-convergence. Zbl 0920.35019 Murat, François; Tartar, Luc 157 1997 Renormalised solutions of nonlinear parabolic problems with \(L^1\) data: Existence and uniqueness. Zbl 0895.35050 Blanchard, D.; Murat, F. 150 1997 Un terme etrange venu d’ailleurs. Zbl 0496.35030 Cioranescu, D.; Murat, F. 132 1982 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 121 1981 \(L^{\infty{}}\) estimate for some nonlinear elliptic partial differential equations and application to an existence result. Zbl 0785.35033 Boccardo, L.; Murat, F.; Puel, J.-P. 120 1992 Compacite par compensation: condition necessaire et suffisante de continuite faible sous une hypothèse de rang constant. Zbl 0464.46034 Murat, Francois 109 1981 Homogenization and optimal bounds in linear elasticity. Zbl 0604.73013 Francfort, G. A.; Murat, F. 104 1986 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 100 2001 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. 97 1993 On a nonlinear partial differential equation having natural growth terms and unbounded solution. Zbl 0696.35042 Bensoussan, A.; Boccardo, L.; Murat, F. 94 1988 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. 84 1984 The Stokes and Navier-Stokes equations with boundary conditions involving the pressure. Zbl 0826.35093 Conca, C.; Murat, F.; Pironneau, O. 79 1994 A strange term coming from nowhere. Zbl 0912.35020 Cioranescu, Doina; Murat, François 76 1997 Existence de solutions non bornées pour certaines équations quasi- linéaires. Zbl 0524.35041 Boccardo, L.; Murat, F.; Puel, J. P. 76 1982 Correctors for the homogenization of the wave and heat equations. Zbl 0837.35016 Brahim-Otsmane, S.; Francfort, G. A.; Murat, F. 73 1992 Nonlinear problems having natural growth in the gradient: an existence result when the source terms are small. Zbl 1158.35358 Ferone, Vincenzo; Murat, François 71 2000 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. 69 1983 Remarks on Chacon’s biting lemma. Zbl 0678.46023 Ball, J. M.; Murat, F. 62 1989 Existence results for some quasilinear parabolic equations. Zbl 0705.35066 Boccardo, Lucio; Murat, François; Puel, Jean-Pierre 61 1989 Almost everywhere convergence of gradients of solutions to nonlinear elliptic systems. Zbl 0890.35039 Dal Maso, Gianni; Murat, François 57 1998 Étude de problèmes d’optimal design. Zbl 0334.49013 Murat, Francois; Simon, Jacques 56 1976 Uniqueness and the maximum principle for quasilinear elliptic equations with quadratic growth conditions. Zbl 0859.35031 Barles, Guy; Murat, François 55 1995 Asymptotic behaviour and correctors for Dirichlet problems in perforated domains with homogeneous monotone operators. Zbl 0899.35007 Dal Maso, Gianni; Murat, François 51 1997 Contre-exemples pour divers problèmes ou le contrôle intervient dans les coefficients. Zbl 0349.49005 Murat, Francois 50 1977 Homogenization of the Neumann problem with nonisolated holes. Zbl 0823.35014 Allaire, Grégoire; Murat, François 38 1993 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 36 1997 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. 36 1988 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. 36 2002 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 34 2003 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 34 2017 A priori estimates and existence for elliptic equations with gradient dependent terms. Zbl 1305.35058 Grenon, Nathalie; Murat, François; Porretta, Alessio 34 2014 Quasilinear problems having quadratic growth in the gradient: An existence result when the source term is small. Zbl 0917.35039 Ferone, Vincenzo; Murat, François 33 1998 An elliptic problem with a lower order term having singular behaviour. Zbl 1173.35469 Giachetti, Daniela; Murat, François 32 2009 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 32 1971 Existence and a priori estimate for elliptic problems with subquadratic gradient dependent terms. Zbl 1149.35352 Grenon, Nathalie; Murat, François; Porretta, Alessio 32 2005 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 31 1999 Calculus of variations and homogenization. Zbl 0939.35019 Murat, François; Tartar, Luc 29 1997 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 29 1992 Oscillations and energy densities in the wave equation. Zbl 0803.35010 Francfort, G. A.; Murat, F. 29 1992 Optimality conditions and homogenization. Zbl 0569.49015 Murat, F.; Tartar, L. 29 1985 Asymptotic behaviour and correctors for linear Dirichlet problems with simultaneously varying operators and domains. Zbl 1110.35008 Dal Maso, Gianni; Murat, François 28 2004 Remarques sur l’homogénéisation de certains problèmes quasi- linéaires. Zbl 0524.35042 Boccardo, Lucio; Murat, François 27 1982 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 25 1999 Stability properties, existence, and nonexistence of renormalized solutions for elliptic equations with measure data. Zbl 1129.35397 Murat, F.; Porretta, A. 24 2002 Uniqueness results for nonlinear elliptic equations with a lower order term. Zbl 1125.35343 Betta, M. Francesca; Mercaldo, Anna; Murat, François; Porzio, M. Michaela 24 2005 The Neumann sieve. Zbl 0586.35037 Murat, F. 24 1985 Global weak solutions to equations of motion for magnetic fluids. Zbl 1162.76408 Amirat, Youcef; Hamdache, Kamel; Murat, François 23 2008 Homogenization of the brush problem with a source term in \(L^{1}\). Zbl 1371.35067 Gaudiello, Antonio; Guibé, Olivier; Murat, François 23 2017 Variation d’un point de retournement par rapport au domaine. Zbl 0422.35039 Mignot, F.; Murat, F.; Puel, J. P. 22 1979 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 22 2018 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 22 1987 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. 22 1989 On the junction of elastic plates and beams. Zbl 1032.74037 Gaudiello, Antonio; Monneau, Régis; Mossino, Jacqueline; Murat, François; Sili, Ali 21 2002 On a turbulent system with unbounded eddy viscosities. Zbl 1013.35068 Gallouët, T.; Lederer, J.; Lewandowski, R.; Murat, F.; Tartar, L. 21 2003 Junction of elastic plates and beams. Zbl 1133.35322 Gaudiello, Antonio; Monneau, Régis; Mossino, Jacqueline; Murat, François; Sili, Ali 21 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. 20 2009 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. 19 2007 Nonlinear elliptic equations with natural growth in the gradient and source terms in Lorentz spaces. Zbl 1318.35031 Ferone, Vincenzo; Murat, François 19 2014 Quelques propriétés des opérateurs elliptiques quasi linéaires. (Some properties of quasilinear elliptic operators). Zbl 0696.35050 Boccardo, Lucio; Murat, François; Puel, Jean-Pierre 19 1988 A unified presentation of two existence results for problems with natural growth. Zbl 0806.35033 Boccardo, L.; Gallouët, T.; Murat, F. 18 1993 \(H\) convergence for quasi-linear elliptic equations with quadratic growth. Zbl 0795.35008 Bensoussan, A.; Boccardo, L.; Murat, F. 18 1992 Un terme etrange venu d’ailleurs. II. Zbl 0498.35034 Cioranescu, Doina; Murat, Francois 18 1982 Compacite par compensation II. Zbl 0427.35008 Murat, F. 16 1979 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 16 1972 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 15 2002 Nouveaux résultats de convergence dans des problèmes unilateraux. Zbl 0484.49009 Boccardo, L.; Murat, F. 15 1982 Monotone operators in divergence form with \(X\)-dependent multivalued graphs. Zbl 1115.35047 Francfort, Gilles; Murat, François; Tatar, Luc 14 2004 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. 14 2003 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. 14 1986 A model for two coupled turbulent fluids. I: Analysis of the system. Zbl 1034.35106 Bernardi, C.; Chacón Rebollo, T.; Lewandowski, R.; Murat, F. 13 2002 Fourth-order moments of nonnegative measures on \(S^ 2\) and applications. Zbl 0869.73006 Francfort, Gilles; Murat, François; Tartar, Luc 13 1995 Homogenization problems of a hollow cylinder made of elastic materials with discontinuous properties. Zbl 1169.74532 Chatzigeorgiou, George; Charalambakis, Nicolas; Murat, Francois 12 2008 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 12 2018 On the optimality of certain Sobolev exponents for the weak continuity of determinants. Zbl 0769.46025 Dacorogna, B.; Murat, F. 12 1992 A property of nonlinear elliptic equations when the right-hand side is a measure. Zbl 0807.35034 Boccardo, Lucio; Murat, François 11 1994 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 11 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. 11 2004 Homogenization of nonlinear unilateral problems. Zbl 0749.49009 Boccardo, Lucio; Murat, François 11 1991 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 10 2000 Uniqueness results for pseudomonotone problems with \(p>2\). Zbl 1118.35307 Casado-Díaz, Juan; Murat, François; Porretta, Alessio 10 2007 Homogenization of monotone operators in divergence form with \(x\)-dependent multivalued graphs. Zbl 1180.35077 Francfort, Gilles A.; Murat, François; Tartar, Luc 10 2009 Analysis of a coupled fluid-structure model with applications to hemodynamics. Zbl 1343.35184 Chacón Rebollo, T.; Girault, V.; Murat, F.; Pironneau, O. 10 2016 A generalized strange term in Signorini’s type problems. Zbl 1040.35008 Conca, Carlos; Murat, François; Timofte, Claudia 9 2003 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 9 2004 Homogenization of renormalized solutions of elliptic equations. Zbl 0774.35007 Murat, François 9 1991 The Lewy–Stampacchia inequality for the obstacle problem with quadratic growth in the gradient. Zbl 1105.35041 Murat, F.; Mokrane, A. 8 2005 A chain rule formula for the composition of a vector-valued function by a piecewise smooth function. Zbl 1179.46037 Murat, François; Trombetti, Cristina 8 2003 On the control of coefficients in partial differential equations. Zbl 0913.35020 Murat, François; Tartar, Luc 8 1997 Weak solutions to the initial-boundary value problem for the shearing of non-homogeneous thermoviscoplastic materials. Zbl 0686.73007 Charalambakis, Nicolas; Murat, François 8 1989 Estimation de L’erreur dans des problèmes de Dirichlet ou apparat un terme étrange. (Error estimates in a Dirichlet problem where a strange term appears). Zbl 0687.35007 Kacimi, Hayat; Murat, François 8 1989 The Lewy-Stampacchia inequality for bilateral problems. Zbl 1121.35066 Mokrane, Abdelhafid; Murat, François 8 2004 Homogenization of stratified thermoviscoplastic materials. Zbl 1144.74364 Charalambakis, Nicolas; Murat, François 8 2006 Anisotropic inhomogeneous rectangular thin-walled beams. Zbl 1170.49014 Freddi, Lorenzo; Murat, François; Paroni, Roberto 8 2009 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 8 2018 Semilinear problems with right-hand sides singular at \(u=0\) which change sign. Zbl 1466.35111 Casado-Díaz, Juan; Murat, François 2 2021 The ergodic limit for weak solutions of elliptic equations with Neumann boundary condition. Zbl 1497.35220 Murat, François; Porretta, Alessio 1 2021 A remark about the periodic homogenization of certain composite fibered media. Zbl 1441.35028 Murat, François; Sili, Ali 4 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 22 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 12 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 8 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 5 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. 3 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 34 2017 Homogenization of the brush problem with a source term in \(L^{1}\). Zbl 1371.35067 Gaudiello, Antonio; Guibé, Olivier; Murat, François 23 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. 3 2017 Analysis of a coupled fluid-structure model with applications to hemodynamics. Zbl 1343.35184 Chacón Rebollo, T.; Girault, V.; Murat, F.; Pironneau, O. 10 2016 Advances in the study of singular semilinear elliptic problems. Zbl 1403.35109 Giachetti, Daniela; Martínez-Aparicio, Pedro J.; Murat, François 5 2016 Quasilinear problems involving a perturbation with quadratic growth in the gradient and a noncoercive zeroth order term. Zbl 1341.35067 Hamour, Boussad; Murat, François 4 2016 A priori estimates and existence for elliptic equations with gradient dependent terms. Zbl 1305.35058 Grenon, Nathalie; Murat, François; Porretta, Alessio 34 2014 Nonlinear elliptic equations with natural growth in the gradient and source terms in Lorentz spaces. Zbl 1318.35031 Ferone, Vincenzo; Murat, François 19 2014 Lewy-Stampacchia’s inequality for a Leray-Lions operator with natural growth in the gradient. Zbl 1301.49025 Mokrane, A.; Murat, F. 2 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 1 2014 Homogenization and correctors for monotone problems in cylinders of small diameter. Zbl 1288.35040 Casado-Díaz, Juan; Murat, François; Sili, Ali 3 2013 An example of a functional which is weakly lower semicontinuous on \(W_0^{1,p}\) for every \(p>2\) but not on \(H_0^1\). Zbl 1211.49015 Farroni, Fernando; Giova, Raffaella; Murat, François 1 2011 Finite element discretization of Darcy’s equations with pressure-dependent porosity. Zbl 1271.76166 Girault, Vivette; Murat, François; Salgado, Abner 7 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 4 2010 Stability by homogenization of thermoviscoplastic problems. Zbl 1253.74087 Charalambakis, Nicolas; Murat, Francois 3 2010 Two stable-by-homogenization models in simple shearing of rate-dependent non-homogeneous materials. Zbl 1425.74399 Charalambakis, Nicolas; Murat, François 3 2010 An elliptic problem with a lower order term having singular behaviour. Zbl 1173.35469 Giachetti, Daniela; Murat, François 32 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. 20 2009 Homogenization of monotone operators in divergence form with \(x\)-dependent multivalued graphs. Zbl 1180.35077 Francfort, Gilles A.; Murat, François; Tartar, Luc 10 2009 Anisotropic inhomogeneous rectangular thin-walled beams. Zbl 1170.49014 Freddi, Lorenzo; Murat, François; Paroni, Roberto 8 2009 Homogenization of a pressurized tube made of elastoplastic materials with discontinuous properties. Zbl 1176.74147 Chatzigeorgiou, George; Charalambakis, Nicolas; Murat, Francois 2 2009 Global weak solutions to equations of motion for magnetic fluids. Zbl 1162.76408 Amirat, Youcef; Hamdache, Kamel; Murat, François 23 2008 Homogenization problems of a hollow cylinder made of elastic materials with discontinuous properties. Zbl 1169.74532 Chatzigeorgiou, George; Charalambakis, Nicolas; Murat, Francois 12 2008 The diffusion equation in a notched beam. Zbl 1136.35323 Casado-Díaz, Juan; Luna-Laynez, Manuel; Murat, François 7 2008 Semi-strong convergence of sequences satisfying a variational inequality. Zbl 1248.35088 Briane, Marc; Mokobodzki, Gabriel; Murat, François 3 2008 On the notions of solution to nonlinear elliptic problems: results and developments. Zbl 1203.35007 2 2008 Junction of elastic plates and beams. Zbl 1133.35322 Gaudiello, Antonio; Monneau, Régis; Mossino, Jacqueline; Murat, François; Sili, Ali 21 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. 19 2007 Uniqueness results for pseudomonotone problems with \(p>2\). Zbl 1118.35307 Casado-Díaz, Juan; Murat, François; Porretta, Alessio 10 2007 Homogenization of stratified thermoviscoplastic materials. Zbl 1144.74364 Charalambakis, Nicolas; Murat, François 8 2006 Approximation by finite elements, existence and uniqueness for a model of stratified thermoviscoplastic materials. Zbl 1150.74046 Charalambakis, Nicolas; Murat, François 4 2006 Existence and a priori estimate for elliptic problems with subquadratic gradient dependent terms. Zbl 1149.35352 Grenon, Nathalie; Murat, François; Porretta, Alessio 32 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 24 2005 The Lewy–Stampacchia inequality for the obstacle problem with quadratic growth in the gradient. Zbl 1105.35041 Murat, F.; Mokrane, A. 8 2005 Variations on a strange semi-continuity result. Zbl 1081.47049 Briane, Marc; Mokobodzki, Gabriel; Murat, François 2 2005 Asymptotic behaviour and correctors for linear Dirichlet problems with simultaneously varying operators and domains. Zbl 1110.35008 Dal Maso, Gianni; Murat, François 28 2004 Monotone operators in divergence form with \(X\)-dependent multivalued graphs. Zbl 1115.35047 Francfort, Gilles; Murat, François; Tatar, Luc 14 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. 11 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 9 2004 The Lewy-Stampacchia inequality for bilateral problems. Zbl 1121.35066 Mokrane, Abdelhafid; Murat, François 8 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 7 2004 Uniqueness of the Neumann condition and comparison results for Dirichlet pseudo-monotone problems. Zbl 1157.35363 Casado-Díaz, J.; Murat, F.; Porretta, A. 1 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 34 2003 On a turbulent system with unbounded eddy viscosities. Zbl 1013.35068 Gallouët, T.; Lederer, J.; Lewandowski, R.; Murat, F.; Tartar, L. 21 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. 14 2003 A generalized strange term in Signorini’s type problems. Zbl 1040.35008 Conca, Carlos; Murat, François; Timofte, Claudia 9 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 8 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. 36 2002 Stability properties, existence, and nonexistence of renormalized solutions for elliptic equations with measure data. Zbl 1129.35397 Murat, F.; Porretta, A. 24 2002 On the junction of elastic plates and beams. Zbl 1032.74037 Gaudiello, Antonio; Monneau, Régis; Mossino, Jacqueline; Murat, François; Sili, Ali 21 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 15 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. 13 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 100 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 71 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 10 2000 A model for two coupled turbulent fluids. Zbl 1009.76044 Bernardi, C.; Chacón Rebollo, T.; Lewandowski, R.; Murat, F. 1 2000 Renormalization solutions of elliptic equations with general measure data. Zbl 0958.35045 Dal Maso, Gianni; Murat, François; Orsina, Luigi; Prignet, Alain 301 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 31 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 25 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 1 1999 Almost everywhere convergence of gradients of solutions to nonlinear elliptic systems. Zbl 0890.35039 Dal Maso, Gianni; Murat, François 57 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 33 1998 A proof of the Lewy-Stampacchia’s inequality by a penalization method. Zbl 0918.35058 Mokrane, A.; Murat, F. 7 1998 \(H\)-convergence. Zbl 0920.35019 Murat, François; Tartar, Luc 157 1997 Renormalised solutions of nonlinear parabolic problems with \(L^1\) data: Existence and uniqueness. Zbl 0895.35050 Blanchard, D.; Murat, F. 150 1997 A strange term coming from nowhere. Zbl 0912.35020 Cioranescu, Doina; Murat, François 76 1997 Asymptotic behaviour and correctors for Dirichlet problems in perforated domains with homogeneous monotone operators. Zbl 0899.35007 Dal Maso, Gianni; Murat, François 51 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 36 1997 Calculus of variations and homogenization. Zbl 0939.35019 Murat, François; Tartar, Luc 29 1997 On the control of coefficients in partial differential equations. Zbl 0913.35020 Murat, François; Tartar, Luc 8 1997 A corrector result for \(H\)-converging parabolic problems with time-dependent coefficients. Zbl 1005.35015 Dall’Aglio, Andrea; Murat, François 7 1997 Quasilinear relaxed Dirichlet problems. Zbl 0863.35041 Finzi Vita, Stefano; Murat, François; Tchou, Nicoletta A. 2 1996 Definition and weak stability of nonconservative products. Zbl 0853.35068 Dal Maso, Gianni; LeFloch, Philippe G.; Murat, François 380 1995 Uniqueness and the maximum principle for quasilinear elliptic equations with quadratic growth conditions. Zbl 0859.35031 Barles, Guy; Murat, François 55 1995 Fourth-order moments of nonnegative measures on \(S^ 2\) and applications. Zbl 0869.73006 Francfort, Gilles; Murat, François; Tartar, Luc 13 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 11 1995 The Stokes and Navier-Stokes equations with boundary conditions involving the pressure. Zbl 0826.35093 Conca, C.; Murat, F.; Pironneau, O. 79 1994 A property of nonlinear elliptic equations when the right-hand side is a measure. Zbl 0807.35034 Boccardo, Lucio; Murat, François 11 1994 Dirichlet problems in perforated domains for homogeneous monotone operators on \(H_ 0^ 1\). Zbl 0884.47026 Dal Maso, Gianni; Murat, François 6 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. 97 1993 Homogenization of the Neumann problem with nonisolated holes. Zbl 0823.35014 Allaire, Grégoire; Murat, François 38 1993 A unified presentation of two existence results for problems with natural growth. Zbl 0806.35033 Boccardo, L.; Gallouët, T.; Murat, F. 18 1993 Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations. Zbl 0783.35020 Boccardo, Lucio; Murat, François 270 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. 120 1992 Correctors for the homogenization of the wave and heat equations. Zbl 0837.35016 Brahim-Otsmane, S.; Francfort, G. A.; Murat, F. 73 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 29 1992 Oscillations and energy densities in the wave equation. Zbl 0803.35010 Francfort, G. A.; Murat, F. 29 1992 \(H\) convergence for quasi-linear elliptic equations with quadratic growth. Zbl 0795.35008 Bensoussan, A.; Boccardo, L.; Murat, F. 18 1992 On the optimality of certain Sobolev exponents for the weak continuity of determinants. Zbl 0769.46025 Dacorogna, B.; Murat, F. 12 1992 Homogenization of nonlinear unilateral problems. Zbl 0749.49009 Boccardo, Lucio; Murat, François 11 1991 Homogenization of renormalized solutions of elliptic equations. Zbl 0774.35007 Murat, François 9 1991 Remarks on rank-one convexity and quasi convexity. Zbl 0751.49005 Ball, J. M.; Murat, F. 8 1991 ...and 40 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,160 Authors 65 Murat, François 58 Boccardo, Lucio 50 Casado-Díaz, Juan 41 Coclite, Giuseppe Maria 35 Benkirane, Abdelmoujib 34 Redwane, Hicham 33 Orsina, Luigi 31 Mai Duc Thanh 30 Briane, Marc 29 Dumbser, Michael 29 Porretta, Alessio 28 Parés Madroñal, Carlos 27 Abdellaoui, Boumediene 27 Peral Alonso, Ireneo 26 Dal Maso, Gianni 25 Di Ruvo, Lorenzo 25 Lu, Yunguang 24 Bennouna, Jaouad 23 Chen, Gui-Qiang G. 23 Martínez-Aparicio, Pedro J. 23 Pedregal, Pablo 21 Arcoya, David 21 Sarrico, Carlos Orlando R. 20 Castro, Manuel J. 20 Fonseca, Irene 20 Mercaldo, Anna 19 Allaire, Grégoire 19 Azroul, Elhoussine 19 Blanchard, Dominique 19 Segura de León, Sergio 18 Donato, Patrizia 18 Guibé, Olivier 18 Klimsiak, Tomasz 18 LeFloch, Philippe Gerard 18 Petitta, Francesco 18 Porzio, Maria Michaela 17 El Moumni, Mostafa 17 Gaudiello, Antonio 17 Giachetti, Daniela 16 Akdim, Youssef 16 Carmona Tapia, Jose 16 Kogut, Peter I. 16 Müller, Stefan 15 Bidaut-Veron, Marie-Françoise 15 Bulíček, Miroslav 15 Buttazzo, Giuseppe 15 Castro-Díaz, Manuel Jesús 15 Oliva, Francescantonio 14 Abdellaoui, Mohammed Amin 14 Conca, Carlos 14 Dall’Aglio, Andrea 14 Díaz Díaz, Jesús Ildefonso 14 Nguyen Cong Phuc 13 Betta, Maria Francesca 13 Conti, Sergio 13 Francfort, Gilles A. 13 Leonori, Tommaso 13 Paroni, Roberto 13 Rhoudaf, Mohamed 13 Véron, Laurent 13 Visintin, Augusto 12 Abdulle, Assyr 12 Calvo-Jurado, Carmen 12 Feireisl, Eduard 12 Fernández-Nieto, Enrique Domingo 12 Gil, Antonio J. 12 Gwiazda, Piotr 12 Kovalevsky, Alexander Albertovich 12 Luna-Laynez, Manuel 12 Ortigosa, Rogelio 12 Toro, Eleuterio Francisco 11 Chlebicka, Iwona 11 Cuong, Dao Huy 11 Milton, Graeme Walter 11 Mingione, Giuseppe 11 Sili, Ali 11 Sun, Meina 11 Wittbold, Petra 10 Bressan, Alberto 10 Chacón Rebollo, Tomás 10 Abreu Goncalves, Jose Valdo 10 Grabovsky, Yury 10 Klingenberg, Christian 10 Málek, Josef 10 Panov, Evgeniy Yu. 10 Sciunzi, Berardino 10 Squassina, Marco 10 Zou, Weilin 9 Aberqi, Ahmed 9 Amirat, Youcef Aït 9 Ball, John MacLeod 9 Berthon, Christophe 9 Braides, Andrea 9 Bucur, Dorin 9 Frid, Hermano 9 Gallouët, Thierry 9 Kohn, Robert Vita 9 Kurganov, Alexander 9 Leonetti, Francesco 9 Marah, Amine ...and 3,060 more Authors all top 5 Cited in 389 Serials 154 Nonlinear Analysis. 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RACSAM 8 Bollettino dell’Unione Matematica Italiana ...and 289 more Serials all top 5 Cited in 48 Fields 2,559 Partial differential equations (35-XX) 688 Fluid mechanics (76-XX) 591 Calculus of variations and optimal control; optimization (49-XX) 565 Mechanics of deformable solids (74-XX) 434 Numerical analysis (65-XX) 212 Functional analysis (46-XX) 164 Operator theory (47-XX) 66 Probability theory and stochastic processes (60-XX) 63 Potential theory (31-XX) 63 Global analysis, analysis on manifolds (58-XX) 63 Statistical mechanics, structure of matter (82-XX) 61 Classical thermodynamics, heat transfer (80-XX) 60 Optics, electromagnetic theory (78-XX) 57 Biology and other natural sciences (92-XX) 51 Real functions (26-XX) 40 Measure and integration (28-XX) 38 Systems theory; control (93-XX) 34 Operations research, mathematical programming (90-XX) 32 Ordinary differential equations (34-XX) 32 Harmonic analysis on Euclidean spaces (42-XX) 30 Geophysics (86-XX) 20 Differential geometry (53-XX) 19 Integral equations (45-XX) 17 Mechanics of particles and systems (70-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Quantum theory (81-XX) 13 Functions of a complex variable (30-XX) 12 Dynamical systems and ergodic theory (37-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Astronomy and astrophysics (85-XX) 8 General topology (54-XX) 8 Computer science (68-XX) 8 Relativity and gravitational theory (83-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Approximations and expansions (41-XX) 7 Information and communication theory, circuits (94-XX) 5 History and biography (01-XX) 5 Convex and discrete geometry (52-XX) 4 General and overarching topics; collections (00-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) 2 Statistics (62-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) Citations by Year