## Annales de l’Institut Henri Poincaré. Analyse Non Linéaire

 Short Title: Ann. Inst. Henri Poincaré, Anal. Non Linéaire Publisher: EMS Press, Berlin; L’Institut Henri Poincaré, Paris ISSN: 0294-1449 Online: https://ems.press/journals/aihpc/readhttps://www.sciencedirect.com/journal/annales-de-linstitut-henri-poincare-c-analyse-non-lineaire/issues Comments: Indexed cover-to-cover
 Documents Indexed: 1,617 Publications (since 1984) References Indexed: 1,604 Publications with 40,273 References.
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### Authors

 15 Lions, Pierre-Louis 14 Wei, Juncheng 10 Del Pino, Manuel A. 10 Zuazua, Enrique 9 Duzaar, Frank 9 Wang, Zhi-Qiang 8 Caffarelli, Luis Ángel 8 Marcus, Moshe M. 8 Müller, Stefan 8 Passaseo, Donato 8 Souganidis, Panagiotis E. 8 Valdinoci, Enrico 7 Dacorogna, Bernard 7 Dal Maso, Gianni 7 Felmer, Patricio L. 7 Gazzola, Filippo 7 Jost, Jürgen 7 Mingione, Giuseppe 7 Molle, Riccardo 7 Murat, François 7 Rabinowitz, Paul Henry 7 Roquejoffre, Jean-Michel 7 Terracini, Susanna 7 Zhang, Kewei 6 Ambrosetti, Antonio 6 Barles, Guy 6 Benci, Vieri 6 Bouchitté, Guy 6 Buttazzo, Giuseppe 6 Constantin, Peter 6 Coti Zelati, Vittorio 6 Guerrero, Sergio 6 Kenig, Carlos Eduardo 6 Masmoudi, Nader 6 Souplet, Philippe 6 Tanaka, Kazunaga 6 Velázquez, Juan J. L. 6 Wang, Guofang 6 Weth, Tobias 5 Acerbi, Emilio 5 Arisawa, Mariko 5 Bonheure, Denis 5 Bronsard, Lia 5 Carrillo de la Plata, José Antonio 5 Casado-Díaz, Juan 5 Chae, Dongho 5 Ekeland, Ivar 5 Feireisl, Eduard 5 Ghoussoub, Nassif A. 5 Grossi, Massimo 5 Helffer, Bernard 5 Ishii, Hitoshi 5 Koch, Herbert 5 LeFloch, Philippe Gerard 5 Lin, Chang-Shou 5 Mischler, Stéphane 5 Ozawa, Tohru 5 Perthame, Benoît 5 Pistoia, Angela 5 Ponce, Gustavo 5 Quaas, Alexander 5 Rousset, Frédéric 5 Ryzhik, Lenya 5 Sire, Yannick 5 Solimini, Sergio 5 Takahashi, Takéo 5 Viana, Marcelo 5 Zaag, Hatem 5 Zaslavski, Alexander Yakovlevich 5 Zhang, Zhifei 4 Adami, Riccardo 4 Agrachev, Andreĭ Aleksandrovich 4 Alama, Stan 4 Alves, José Ferreira 4 Alvino, Angelo 4 Berti, Massimiliano 4 Boccardo, Lucio 4 Bonnard, Bernard 4 Bucur, Dorin 4 Cellina, Arrigo 4 Cerami, Giovanna 4 Chou, Kai-Seng 4 Cianchi, Andrea 4 Da Lio, Francesca 4 Damascelli, Lucio 4 Dancer, Edward Norman 4 Dávila, Juan 4 Dipierro, Serena 4 Escobedo Martínez, Miguel 4 Foiaș, Ciprian 4 Fonseca, Irene 4 Fortunato, Donato 4 Frankowska, Hélène 4 Hamel, François 4 Jüngel, Ansgar 4 Laurençot, Philippe 4 Long, Yiming 4 Malchiodi, Andrea 4 Marcellini, Paolo 4 Méhats, Florian ...and 1,978 more Authors
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### Fields

 1,157 Partial differential equations (35-XX) 261 Calculus of variations and optimal control; optimization (49-XX) 210 Fluid mechanics (76-XX) 171 Global analysis, analysis on manifolds (58-XX) 168 Dynamical systems and ergodic theory (37-XX) 117 Differential geometry (53-XX) 88 Statistical mechanics, structure of matter (82-XX) 82 Operator theory (47-XX) 73 Functional analysis (46-XX) 72 Ordinary differential equations (34-XX) 67 Mechanics of deformable solids (74-XX) 64 Systems theory; control (93-XX) 41 Real functions (26-XX) 39 Mechanics of particles and systems (70-XX) 37 Quantum theory (81-XX) 33 Biology and other natural sciences (92-XX) 31 Integral equations (45-XX) 29 Probability theory and stochastic processes (60-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 20 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 Numerical analysis (65-XX) 19 Classical thermodynamics, heat transfer (80-XX) 18 Measure and integration (28-XX) 18 Functions of a complex variable (30-XX) 15 Optics, electromagnetic theory (78-XX) 12 Potential theory (31-XX) 12 Convex and discrete geometry (52-XX) 11 Operations research, mathematical programming (90-XX) 10 General topology (54-XX) 9 Geophysics (86-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Manifolds and cell complexes (57-XX) 7 Relativity and gravitational theory (83-XX) 4 Algebraic topology (55-XX) 4 Computer science (68-XX) 4 Astronomy and astrophysics (85-XX) 3 Algebraic geometry (14-XX) 3 Approximations and expansions (41-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Statistics (62-XX)

### Citations contained in zbMATH Open

1,484 Publications have been cited 31,156 times in 22,984 Documents Cited by Year
The concentration-compactness principle in the calculus of variations. The locally compact case. I. Zbl 0541.49009
Lions, Pierre-Louis
1984
The concentration-compactness principle in the calculus of variations. The locally compact case. II. Zbl 0704.49004
Lions, P.-L.
1984
Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates. Zbl 1286.35248
Cabré, Xavier; Sire, Yannick
2014
On nonhomogeneous elliptic equations involving critical Sobolev exponent. Zbl 0785.35046
Tarantello, G.
1992
Multi-peak bound states for nonlinear Schrödinger equations. Zbl 0901.35023
Del Pino, Manuel; Felmer, Patricio L.
1998
Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system. Zbl 1351.35239
Winkler, Michael
2016
Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results. Zbl 0911.35009
Damascelli, Lucio
1998
Null and approximate controllability for weakly blowing up semilinear heat equations. Zbl 0970.93023
Fernández-Cara, Enrique; Zuazua, Enrique
2000
Travelling fronts in cylinders. Zbl 0799.35073
Berestycki, Henri; Nirenberg, Louis
1992
The global Cauchy problem for the nonlinear Schrödinger equation revisited. Zbl 0586.35042
Ginibre, J.; Velo, G.
1985
Second-order elliptic integro-differential equations: viscosity solutions’ theory revisited. Zbl 1155.45004
Barles, Guy; Imbert, Cyril
2008
A coupled chemotaxis-fluid model: global existence. Zbl 1236.92013
Liu, Jian-Guo; Lorz, Alexander
2011
Construction of the Leray-Schauder degree for elliptic operators in unbounded domains. Zbl 0835.35048
Volpert, A. I.; Volpert, V. A.
1994
Local behavior of fractional $$p$$-minimizers. Zbl 1355.35192
Di Castro, Agnese; Kuusi, Tuomo; Palatucci, Giampiero
2016
On the existence of a positive solution of semilinear elliptic equations in unbounded domains. Zbl 0883.35045
Bahri, Abbas; Lions, Pierre-Louis
1997
Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion. Zbl 1283.35154
Tao, Youshan; Winkler, Michael
2013
Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data. Zbl 0857.35126
Boccardo, Lucio; Gallouët, Thierry; Orsina, Luigi
1996
Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems. Zbl 0612.58011
Szulkin, Andrzej
1986
Global solutions and finite time blow up for damped semilinear wave equations. Zbl 1094.35082
Gazzola, Filippo; Squassina, Marco
2006
Nondegeneracy of blow-up points for the parabolic Keller-Segel system. Zbl 1302.35075
Mizoguchi, Noriko; Souplet, Philippe
2014
Regularity criteria for the generalized viscous MHD equations. Zbl 1130.35110
Zhou, Yong
2007
A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system. Zbl 1191.35121
Dancer, E. N.; Wei, Juncheng; Weth, Tobias
2010
Global existence for the Vlasov-Poisson equation in 3 space variables with small initial data. Zbl 0593.35076
Bardos, C.; Degond, P.
1985
Spikes in two coupled nonlinear Schrödinger equations. Zbl 1080.35143
Lin, Tai-Chia; Wei, Juncheng
2005
On the Schrödinger-Maxwell equations under the effect of a general nonlinear term. Zbl 1187.35231
Azzollini, A.; d’Avenia, P.; Pomponio, A.
2010
Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent. Zbl 0729.35014
Han, Zheng-Chao
1991
On a partial differential equation involving the Jacobian determinant. Zbl 0707.35041
Dacorogna, Bernard; Moser, Jürgen
1990
An existence result for nonliner elliptic problems involving critical Sobolev exponent. Zbl 0612.35053
Capozzi, A.; Fortunato, D.; Palmieri, G.
1985
Asymptotic behavior of a Cahn-Hilliard-Navier-Stokes system in 2D. Zbl 1184.35055
Gal, Ciprian G.; Grasselli, Maurizio
2010
Well-posedness for Hall-magnetohydrodynamics. Zbl 1297.35064
Chae, Dongho; Degond, Pierre; Liu, Jian-Guo
2014
On the existence of blowing-up solutions for a mean field equation. Zbl 1129.35376
Esposito, Pierpaolo; Grossi, Massimo; Pistoia, Angela
2005
A critical fractional equation with concave-convex power nonlinearities. Zbl 1350.49009
2015
Three nodal solutions of singularly perturbed elliptic equations on domains without topology. Zbl 1114.35068
Bartsch, Thomas; Weth, Tobias
2005
Small solutions to nonlinear Schrödinger equations. Zbl 0786.35121
Kenig, Carlos E.; Ponce, Gustavo; Vega, Luis
1993
Uniqueness and asymptotic behavior of solutions with boundary blow-up for a class of nonlinear elliptic equations. Zbl 0877.35042
Marcus, M.; Véron, L.
1997
On the definition and the lower semicontinuity of certain quasiconvex integrals. Zbl 0609.49009
Marcellini, Paolo
1986
Well-posedness and scattering for the KP-II equation in a critical space. Zbl 1169.35372
Hadac, Martin; Herr, Sebastian; Koch, Herbert
2009
Existence of solutions for compressible fluid models of Korteweg type. Zbl 1010.76075
Danchin, Raphaël; Desjardins, Benoît
2001
Existence and nonexistence results for anisotropic quasilinear elliptic equations. Zbl 1144.35378
Fragalà, Ilaria; Gazzola, Filippo; Kawohl, Bernd
2004
Existence results for mean field equations. Zbl 0937.35055
Ding, Weiyue; Jost, Jürgen; Li, Jiayu; Wang, Guofang
1999
Regularity results for parabolic systems related to a class of non-Newtonian fluids. Zbl 1052.76004
Acerbi, E.; Mingione, G.; Seregin, G. A.
2004
On a superlinear elliptic equation. Zbl 0733.35043
Wang, Zhi Qiang
1991
On asymptotic stability of solitary waves for nonlinear Schrödinger equations. Zbl 1028.35139
2003
Fractional elliptic equations, Caccioppoli estimates and regularity. Zbl 1381.35211
Caffarelli, Luis A.; Stinga, Pablo Raúl
2016
Propriétés des matrices “bien localisées” près de leur diagonale et quelques applications. (Properties of matrices “well localized” near the diagonal and some applications). Zbl 0722.15004
Jaffard, S.
1990
Periodic solutions of Hamiltonian systems of 3-body type. Zbl 0745.34034
Bahri, A.; Rabinowitz, P. H.
1991
Convex symmetrization and applications. Zbl 0877.35040
Alvino, Angelo; Ferone, Vincenzo; Trombetti, Guido; Lions, Pierre-Louis
1997
Ground states of nonlinear Schrödinger equations with potentials. Zbl 1111.35079
Li, Yongqing; Wang, Zhi-Qiang; Zeng, Jing
2006
Critère d’existence de solutions positives pour des équations semi- linéaires non monotones. (Existence condition of positive solutions of non-monotonic semilinear equations). Zbl 0599.35073
Baras, Pierre; Pierre, Michel
1985
Critical points of embeddings of $$H_ 0^{1,n}$$ into Orlicz spaces. Zbl 0664.35022
Struwe, Michael
1988
Multiple boundary peak solutions for some singularly perturbed Neumann problems. Zbl 0944.35020
Gui, Changfeng; Wei, Juncheng; Winter, Matthias
2000
Periodic and heteroclinic orbits for a periodic Hamiltonian system. Zbl 0701.58023
Rabinowitz, Paul H.
1989
$$L^ p$$ regularity of velocity averages. Zbl 0763.35014
DiPerna, R. J.; Lions, P. L.; Meyer, Y.
1991
Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations. Zbl 1031.35077
Chen, Gui-Qiang; Perthame, Benoît
2003
Nehari’s problem and competing species systems. Zbl 1090.35076
Conti, M.; Terracini, S.; Verzini, G.
2002
On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials. Zbl 1248.93031
Duyckaerts, Thomas; Zhang, Xu; Zuazua, Enrique
2008
A general mountain pass principle for locating and classifying critical points. Zbl 0711.58008
Ghoussoub, N.; Preiss, D.
1989
Bifurcation and multiplicity results for nonlinear elliptic problems involving critical Sobolev exponents. Zbl 0568.35039
Cerami, Giovanna; Fortunato, Donato; Struwe, Michael
1984
Nonlinear evolution equations and analyticity. I. Zbl 0622.35066
Kato, Tosio; Masuda, Kyûya
1986
On a nonlinear partial differential equation having natural growth terms and unbounded solution. Zbl 0696.35042
Bensoussan, A.; Boccardo, L.; Murat, F.
1988
Exact controllability for semilinear wave equations in one space dimension. Zbl 0769.93017
Zuazua, E.
1993
Hardy-Sobolev critical elliptic equations with boundary singularities. Zbl 1232.35064
Ghoussoub, N.; Kang, X. S.
2004
Remarks on the large time behaviour of a nonlinear diffusion equation. Zbl 0653.35036
Kavian, Otared
1987
Blow-up behaviour of one-dimensional semilinear parabolic equations. Zbl 0813.35007
Herrero, M. A.; Velázquez, J. J. L.
1993
Proto-differentiability of set-valued mappings and its applications in optimization. Zbl 0674.90082
Rockafellar, R. T.
1989
Minimal interface criterion for phase transitions in mixtures of Cahn- Hilliard fluids. Zbl 0702.49009
Baldo, Sisto
1990
On self-similarity and stationary problem for fragmentation and coagulation models. Zbl 1130.35025
Escobedo, M.; Mischler, S.; Rodriguez Ricard, M.
2005
Ljusternik-Schnirelmann theory on $$C^ 1$$-manifolds. Zbl 0661.58009
Szulkin, Andrzej
1988
On the spatially homogeneous Boltzmann equation. Zbl 0946.35075
Mischler, Stéphane; Wennberg, Bernst
1999
Pulsating fronts for nonlocal dispersion and KPP nonlinearity. Zbl 1288.45007
Coville, Jérôme; Dávila, Juan; Martínez, Salomé
2013
Positive solutions to Kirchhoff type equations with nonlinearity having prescribed asymptotic behavior. Zbl 1288.35456
Liang, Zhanping; Li, Fuyi; Shi, Junping
2014
Variational problems on classes of rearrangements and multiple configurations for steady vortices. Zbl 0677.49005
Burton, G. R.
1989
Comparison results for elliptic and parabolic equations via Schwarz symmetrization. Zbl 0703.35007
Alvino, Angelo; Trombetti, Guido; Lions, Pierre-Louis
1990
$$\Gamma$$-convergence for nonlocal phase transitions. Zbl 1253.49008
Savin, Ovidiu; Valdinoci, Enrico
2012
Partial regularity of minimizers of quasiconvex integrals. Zbl 0594.49004
Giaquinta, Mariano; Modica, Giuseppe
1986
Incompressible, inviscid limit of the compressible Navier-Stokes system. Zbl 0991.35058
2001
Topological solutions in the self-dual Chern-Simons theory: Existence and approximation. Zbl 0836.35007
Spruck, Joel; Yang, Yisong
1995
Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation. Zbl 1149.76052
Constantin, Peter; Wu, Jiahong
2008
On the Hénon equation: asymptotic profile of ground states. I. Zbl 1114.35071
Byeon, Jaeyoung; Wang, Zhi-Qiang
2006
Nodal domains and spectral minimal partitions. Zbl 1171.35083
Helffer, B.; Hoffmann-Ostenhof, T.; Terracini, S.
2009
Second order parabolic systems, optimal regularity, and singular sets of solutions. Zbl 1099.35042
Duzaar, Frank; Mingione, Giuseppe
2005
On the Liouville property for fully nonlinear equations. Zbl 0956.35035
Cutrì, Alessandra; Leoni, Fabiana
2000
Solitary waves of generalized Kadomtsev-Petviashvili equations. Zbl 0883.35103
de Bouard, Anne; Saut, Jean-Claude
1997
Looking for the Bernoulli shift. Zbl 0803.58013
Séré, Éric
1993
Homoclinics: Poincaré-Melnikov type results via a variational approach. Zbl 1004.37043
1998
Strong solutions for a compressible fluid model of Korteweg type. Zbl 1141.76053
Kotschote, Matthias
2008
On a new class of elastic deformations not allowing for cavitation. Zbl 0863.49002
Müller, S.; Qi, Tang; Yan, B. S.
1994
Asymptotic behaviour of solutions and their derivatives, for semilinear elliptic problems with blowup on the boundary. Zbl 0840.35033
Bandle, Catherine; Marcus, Moshe
1995
Properties of pseudoholomorphic curves in symplectisations. I: Asymptotics. Zbl 0861.58018
Hofer, H.; Wysocki, K.; Zehnder, E.
1996
Finite dimensional behavior for weakly damped driven Schrödinger equations. Zbl 0659.35019
Ghidaglia, Jean-Michel
1988
Harnack inequalities for quasi-minima of variational integrals. Zbl 0565.35012
DiBenedetto, E.; Trudinger, Neil S.
1984
The modulational regime of three-dimensional water waves and the Davey-Stewartson system. Zbl 0892.76008
Craig, Walter; Schanz, Ulrich; Sulem, Catherine
1997
Energy estimates and symmetry breaking in attractive Bose-Einstein condensates with ring-shaped potentials. Zbl 1341.35053
Guo, Yujin; Zeng, Xiaoyu; Zhou, Huan-Song
2016
Viscosity solutions of nonlinear integro-differential equations. Zbl 0870.45002
Alvarez, Olivier; Tourin, Agnès
1996
The Riemann problem for a class of resonant hyperbolic systems of balance laws. Zbl 1086.35069
Goatin, Paola; LeFloch, Philippe G.
2004
Wellposedness and stability results for the Navier-Stokes equations in $$\mathbb R^3$$. Zbl 1165.35038
Chemin, Jean-Yves; Gallagher, Isabelle
2009
Minimal solutions of variational problems on a torus. Zbl 0609.49029
Moser, Jürgen
1986
Singularity formation for the incompressible Hall-MHD equations without resistivity. Zbl 1347.35199
Chae, Dongho; Weng, Shangkun
2016
Qualitative properties of positive solutions of semilinear elliptic equations in symmetric domains via the maximum principle. Zbl 0935.35049
Damascelli, Lucio; Grossi, Massimo; Pacella, Filomena
1999
Finite time blow-up for a one-dimensional quasilinear parabolic-parabolic chemotaxis system. Zbl 1270.35377
Cieślak, Tomasz; Laurençot, Philippe
2010
Global well-posedness for the Cauchy problem of the Zakharov-Kuznetsov equation in 2D. Zbl 1458.35373
Kinoshita, Shinya
2021
Existence of multi-solitons for the focusing logarithmic non-linear Schrödinger equation. Zbl 1464.35319
Ferriere, Guillaume
2021
Spreading properties of a three-component reaction-diffusion model for the population of farmers and hunter-gatherers. Zbl 1466.92162
Xiao, Dongyuan; Mori, Ryunosuke
2021
Conserved quantities and Hamiltonization of nonholonomic systems. Zbl 1485.70012
Balseiro, Paula; Yapu, Luis P.
2021
Edge-localized states on quantum graphs in the limit of large mass. Zbl 1477.35230
Berkolaiko, Gregory; Marzuola, Jeremy L.; Pelinovsky, Dmitry E.
2021
Local limit of nonlocal traffic models: convergence results and total variation blow-up. Zbl 1473.35360
Colombo, Maria; Crippa, Gianluca; Marconi, Elio; Spinolo, Laura V.
2021
Sharp estimates for the spreading speeds of the Lotka-Volterra diffusion system with strong competition. Zbl 1470.35115
Peng, Rui; Wu, Chang-Hong; Zhou, Maolin
2021
On the spectral characterization of Besse and Zoll Reeb flows. Zbl 1475.53086
Ginzburg, Viktor L.; Gürel, Başak Z.; Mazzucchelli, Marco
2021
On a nonlocal Cahn-Hilliard/Navier-Stokes system with degenerate mobility and singular potential for incompressible fluids with different densities. Zbl 1464.35179
Frigeri, Sergio
2021
Some Liouville theorems for stationary Navier-Stokes equations in Lebesgue and Morrey spaces. Zbl 1466.35282
Chamorro, Diego; Jarrín, Oscar; Lemarié-Rieusset, Pierre-Gilles
2021
Nonlinear stability of self-gravitating irrotational Chaplygin fluids in a FLRW geometry. Zbl 1464.83026
LeFloch, Philippe G.; Wei, Changhua
2021
Asymptotic symmetry and local behavior of solutions of higher order conformally invariant equations with isolated singularities. Zbl 1465.35396
Jin, Tianling; Xiong, Jingang
2021
On isolated singularities of fractional semi-linear elliptic equations. Zbl 1458.35462
Yang, Hui; Zou, Wenming
2021
Compactness of scalar-flat conformal metrics on low-dimensional manifolds with constant mean curvature on boundary. Zbl 1475.35050
Kim, Seunghyeok; Musso, Monica; Wei, Juncheng
2021
Soliton resolution for the focusing modified KdV equation. Zbl 1494.35128
Chen, Gong; Liu, Jiaqi
2021
Entropy theory for sectional hyperbolic flows. Zbl 1478.37031
José Pacifico, Maria; Yang, Fan; Yang, Jiagang
2021
On the controllability and stabilization of the Benjamin equation on a periodic domain. Zbl 1470.93028
Panthee, M.; Vielma Leal, F.
2021
Nonnegative control of finite-dimensional linear systems. Zbl 1466.93020
Lohéac, Jérôme; Trélat, Emmanuel; Zuazua, Enrique
2021
A dynamical approach to semilinear elliptic equations. Zbl 1459.35174
Beck, Margaret; Cox, Graham; Jones, Christopher; Latushkin, Yuri; Sukhtayev, Alim
2021
Stability of planar rarefaction waves under general viscosity perturbation of the isentropic Euler system. Zbl 1494.35132
Feireisl, Eduard; Novotný, Antonín
2021
Nontrivial solutions to Serrin’s problem in annular domains. Zbl 1462.35211
Kamburov, Nikola; Sciaraffia, Luciano
2021
Entropy formula and continuity of entropy for piecewise expanding maps. Zbl 1466.37002
Alves, José F.; Pumariño, Antonio
2021
Navier-Stokes equation in super-critical spaces $$E_{p,q}^s$$. Zbl 1464.35177
Feichtinger, Hans G.; Gröchenig, Karlheinz; Li, Kuijie; Wang, Baoxiang
2021
Almost periodic invariant tori for the NLS on the circle. Zbl 1462.35024
Biasco, Luca; Massetti, Jessica Elisa; Procesi, Michela
2021
Semilinear problems with right-hand sides singular at $$u=0$$ which change sign. Zbl 1466.35111
2021
Optimal gradient estimates for the perfect conductivity problem with $$C^{1,\alpha}$$ inclusions. Zbl 1466.78012
Chen, Yu; Li, Haigang; Xu, Longjuan
2021
A game of alignment: collective behavior of multi-species. Zbl 1466.92146
2021
Regularity of optimal sets for some functional involving eigenvalues of an operator in divergence form. Zbl 1470.49069
Trey, Baptiste
2021
Phase transitions on the Markov and Lagrange dynamical spectra. Zbl 1483.37036
Lima, Davi; Moreira, Carlos Gustavo
2021
The lifespan of classical solutions for the inviscid surface quasi-geostrophic equation. Zbl 1477.35271
Castro, Ángel; Córdoba, Diego; Zheng, Fan
2021
The Euler equations in a critical case of the generalized Campanato space. Zbl 1458.35308
Chae, Dongho; Wolf, Jörg
2021
Bifurcation for minimal surface equation in hyperbolic 3-manifolds. Zbl 1465.53074
Huang, Zheng; Lucia, Marcello; Tarantello, Gabriella
2021
Dispersive blow-up for solutions of the Zakharov-Kuznetsov equation. Zbl 1458.35375
Linares, F.; Pastor, A.; Drumond Silva, J.
2021
Relaxed Euler systems and convergence to Navier-Stokes equations. Zbl 1458.35319
Peng, Yue-Jun
2021
Non-existence of patterns and gradient estimates in semilinear elliptic equations with Neumann boundary conditions. Zbl 1479.35410
Nordmann, Samuel
2021
The influence of Einstein’s effective viscosity on sedimentation at very small particle volume fraction. Zbl 1489.35202
Höfer, Richard M.; Schubert, Richard
2021
Collapsing and the convex hull property in a soap film capillarity model. Zbl 1475.49046
King, Darren; Maggi, Francesco; Stuvard, Salvatore
2021
Full cross-diffusion limit in the stationary Shigesada-Kawasaki-Teramoto model. Zbl 1479.35393
Kuto, Kousuke
2021
Stability, well-posedness and regularity of the homogeneous Landau equation for hard potentials. Zbl 1484.82040
Fournier, Nicolas; Heydecker, Daniel
2021
Global $$C^\infty$$ regularity of the steady Prandtl equation with favorable pressure gradient. Zbl 1475.35099
Wang, Yue; Zhang, Zhifei
2021
Asymptotic expansions in time for rotating incompressible viscous fluids. Zbl 1464.35182
Hoang, Luan T.; Titi, Edriss S.
2021
The existence of full dimensional invariant tori for 1-dimensional nonlinear wave equation. Zbl 1466.35314
Cong, Hongzi; Yuan, Xiaoping
2021
The third order Benjamin-Ono equation on the torus: well-posedness, traveling waves and stability. Zbl 1467.37061
Gassot, Louise
2021
Stability of equilibria uniformly in the inviscid limit for the Navier-Stokes-Poisson system. Zbl 1465.76114
Rousset, Frédéric; Sun, Changzhen
2021
Critical chirality in elliptic systems. Zbl 1479.35332
Da Lio, Francesca; Rivière, Tristan
2021
Global classical solutions to quadratic systems with mass control in arbitrary dimensions. Zbl 1433.35167
Fellner, Klemens; Morgan, Jeff; Tang, Bao Quoc
2020
Compressible fluids and active potentials. Zbl 1430.35185
Constantin, Peter; Drivas, Theodore D.; Nguyen, Huy Q.; Pasqualotto, Federico
2020
Convex integration solutions to the transport equation with full dimensional concentration. Zbl 1458.35363
Modena, Stefano; Sattig, Gabriel
2020
Lipschitz regularity for viscous Hamilton-Jacobi equations with $$L^p$$ terms. Zbl 1440.35036
Cirant, Marco; Goffi, Alessandro
2020
Surface tension stabilization of the Rayleigh-Taylor instability for a fluid layer in a porous medium. Zbl 1459.76053
Gancedo, Francisco; Granero-Belinchón, Rafael; Scrobogna, Stefano
2020
Quantitative error estimates for the large friction limit of Vlasov equation with nonlocal forces. Zbl 1440.35322
Carrillo, José A.; Choi, Young-Pil
2020
The Calderón problem for quasilinear elliptic equations. Zbl 1457.35093
Muñoz, Claudio; Uhlmann, Gunther
2020
Degenerate nonlocal Cahn-Hilliard equations: well-posedness, regularity and local asymptotics. Zbl 1467.45017
Davoli, Elisa; Ranetbauer, Helene; Scarpa, Luca; Trussardi, Lara
2020
Invariant density and time asymptotics for collisionless kinetic equations with partly diffuse boundary operators. Zbl 1439.82037
Lods, B.; Mokhtar-Kharroubi, M.; Rudnicki, R.
2020
Atomic decompositions, two stars theorems, and distances for the Bourgain-Brezis-Mironescu space and other big spaces. Zbl 1443.46005
D&rsquo;Onofrio, Luigi; Greco, Luigi; Perfekt, Karl-Mikael; Sbordone, Carlo; Schiattarella, Roberta
2020
Fractional Piola identity and polyconvexity in fractional spaces. Zbl 1442.35445
Bellido, José C.; Cueto, Javier; Mora-Corral, Carlos
2020
Recurrence for the wind-tree model. Zbl 1436.37006
Avila, A.; Hubert, P.
2020
Sobolev embeddings, rearrangement-invariant spaces and Frostman measures. Zbl 1440.46030
Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
2020
Aggregation-diffusion to constrained interaction: minimizers & gradient flows in the slow diffusion limit. Zbl 1436.49015
Craig, Katy; Topaloglu, Ihsan
2020
A higher speed type II blowup for the five dimensional energy critical heat equation. Zbl 1433.35007
2020
The Bramson delay in the non-local Fisher-KPP equation. Zbl 1436.35239
Bouin, Emeric; Henderson, Christopher; Ryzhik, Lenya
2020
The closure of planar diffeomorphisms in Sobolev spaces. Zbl 1446.46018
De Philippis, G.; Pratelli, A.
2020
Fokker-Planck equations of jumping particles and mean field games of impulse control. Zbl 1456.49030
Bertucci, Charles
2020
The energy-critical nonlinear wave equation with an inverse-square potential. Zbl 1433.35199
Miao, Changxing; Murphy, Jason; Zheng, Jiqiang
2020
Dissipative measure-valued solutions for general conservation laws. Zbl 1447.35209
Gwiazda, Piotr; Kreml, Ondřej; Świerczewska-Gwiazda, Agnieszka
2020
Analyticity and large time behavior for the Burgers equation and the quasi-geostrophic equation, the both with the critical dissipation. Zbl 1441.35255
Iwabuchi, Tsukasa
2020
Short time existence of the classical solution to the fractional mean curvature flow. Zbl 1501.53096
Julin, Vesa; La Manna, Domenico Angelo
2020
Well-posedness issues on the periodic modified Kawahara equation. Zbl 1435.35336
Kwak, Chulkwang
2020
Existence of solutions for a higher-order semilinear parabolic equation with singular initial data. Zbl 1454.35222
Ishige, Kazuhiro; Kawakami, Tatsuki; Okabe, Shinya
2020
Statistical stability of mostly expanding diffeomorphisms. Zbl 1477.37041
2020
Global existence of weak solutions for the anisotropic compressible Stokes system. Zbl 1456.35160
Bresch, Didier; Burtea, C.
2020
Local solutions of the Landau equation with rough, slowly decaying initial data. Zbl 1455.35214
Henderson, Christopher; Snelson, Stanley; Tarfulea, Andrei
2020
Convergence to equilibrium for the solution of the full compressible Navier-Stokes equations. Zbl 1435.35069
Zhang, Zhifei; Zi, Ruizhao
2020
Nonlinear instability in Vlasov type equations around rough velocity profiles. Zbl 1441.35234
2020
Nondivergence form quasilinear heat equations driven by space-time white noise. Zbl 1446.60051
Gerencsér, Máté
2020
Thin film liquid crystals with oblique anchoring and boojums. Zbl 1446.76066
Alama, Stan; Bronsard, Lia; Golovaty, Dmitry
2020
How a minimal surface leaves a thin obstacle. Zbl 1461.35250
2020
Exact controllability of semilinear heat equations in spaces of analytic functions. Zbl 1448.93030
Laurent, Camille; Rosier, Lionel
2020
Ginzburg-Landau equations on Riemann surfaces of higher genus. Zbl 1475.30109
Chouchkov, D.; Ercolani, N. M.; Rayan, S.; Sigal, I. M.
2020
Anisotropic nonlocal diffusion equations with singular forcing. Zbl 1454.35411
de Pablo, Arturo; Quirós, Fernando; Rodríguez, Ana
2020
On the existence of dual solutions for Lorentzian cost functions. Zbl 1439.49060
Kell, Martin; Suhr, Stefan
2020
A counterexample to the Liouville property of some nonlocal problems. Zbl 1439.35107
Brasseur, Julien; Coville, Jérôme
2020
Stability analysis and Hopf bifurcation at high Lewis number in a combustion model with free interface. Zbl 1442.35555
Brauner, Claude-Michel; Lorenzi, Luca; Zhang, Mingmin
2020
Unique continuation principles in cones under nonzero Neumann boundary conditions. Zbl 1479.35287
Dipierro, Serena; Felli, Veronica; Valdinoci, Enrico
2020
Hypersonic similarity for the two dimensional steady potential flow with large data. Zbl 1456.35138
Kuang, Jie; Xiang, Wei; Zhang, Yongqian
2020
On the bilinear control of the Gross-Pitaevskii equation. Zbl 1437.35681
Chambrion, Thomas; Thomann, Laurent
2020
Well-posedness of semilinear heat equations in $$L^1$$. Zbl 1442.35220
Laister, Robert; Sierżęga, M.
2020
Symbolic dynamics for one dimensional maps with nonuniform expansion. Zbl 1455.37012
Lima, Yuri
2020
On Whitham’s conjecture of a highest cusped wave for a nonlocal dispersive equation. Zbl 1423.35059
Ehrnström, Mats; Wahlén, Erik
2019
Local well-posedness for quasi-linear NLS with large Cauchy data on the circle. Zbl 1430.35207
Feola, R.; Iandoli, F.
2019
Fluctuations of $$N$$-particle quantum dynamics around the nonlinear Schrödinger equation. Zbl 1419.81042
Brennecke, Christian; Phan Thành Nam; Napiórkowski, Marcin; Schlein, Benjamin
2019
Existence of strong minimizers for the Griffith static fracture model in dimension two. Zbl 1458.74126
Conti, Sergio; Focardi, Matteo; Iurlano, Flaviana
2019
Global solvability and stabilization in a two-dimensional cross-diffusion system modeling urban crime propagation. Zbl 1428.35611
Winkler, Michael
2019
Existence of local strong solutions to fluid-beam and fluid-rod interaction systems. Zbl 1428.35291
Grandmont, Céline; Hillairet, Matthieu; Lequeurre, Julien
2019
Homogenisation for the Stokes equations in randomly perforated domains under almost minimal assumptions on the size of the holes. Zbl 1437.35041
Giunti, Arianna; Höfer, Richard M.
2019
Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations. Zbl 1420.35181
Biswas, Animikh; Foias, Ciprian; Mondaini, Cecilia F.; Titi, Edriss S.
2019
Parabolic equation in time and space dependent anisotropic Musielak-Orlicz spaces in absence of Lavrentiev’s phenomenon. Zbl 1419.35092
Chlebicka, Iwona; Gwiazda, Piotr; Zatorska-Goldstein, Anna
2019
Complete stickiness of nonlocal minimal surfaces for small values of the fractional parameter. Zbl 1411.49026
Bucur, Claudia; Lombardini, Luca; Valdinoci, Enrico
2019
Axially asymmetric traveling fronts in balanced bistable reaction-diffusion equations. Zbl 1428.35073
Taniguchi, Masaharu
2019
Geometric aspects of $$p$$-capacitary potentials. Zbl 1422.35091
Fogagnolo, Mattia; Mazzieri, Lorenzo; Pinamonti, Andrea
2019
...and 1384 more Documents
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### Cited by 14,688 Authors

 159 Wei, Juncheng 86 Alves, Claudianor Oliveira 85 Tang, Xianhua 83 Rădulescu, Vicenţiu D. 73 Valdinoci, Enrico 73 Zou, Wenming 68 Lin, Chang-Shou 67 Papageorgiou, Nikolaos S. 64 Pistoia, Angela 64 Winkler, Michael 63 Wang, Zhi-Qiang 62 Wu, Tsungfang 57 Miyagaki, Olimpio Hiroshi 54 Li, Wan-Tong 54 Terracini, Susanna 51 Figueiredo, Giovany Malcher 51 Mingione, Giuseppe 50 Cao, Daomin 50 Guo, Boling 50 Hamel, François 50 Peng, Shuangjie 50 Tang, Chun-Lei 49 Quaas, Alexander 48 Yang, Minbo 46 Del Pino, Manuel A. 46 Feireisl, Eduard 46 Guo, Yuxia 46 Musso, Monica 46 Rossi, Julio Daniel 46 Yan, Shusen 44 Ambrosio, Vincenzo 44 Byun, Sun-Sig 44 Do Ó, João M. Bezerra 42 Squassina, Marco 42 Tan, Zhong 42 Wang, Jun 41 Ding, Yanheng 41 Vazquez, Juan Luis 40 Felmer, Patricio L. 40 Perthame, Benoît 39 Van Schaftingen, Jean 39 Zhan, Huashui 39 Zuazua, Enrique 38 Carrillo de la Plata, José Antonio 38 Mu, Chunlai 38 Weth, Tobias 38 Zaslavski, Alexander Yakovlevich 37 Grossi, Massimo 36 Malchiodi, Andrea 36 Ozawa, Tohru 36 Shen, Wenxian 36 Sire, Yannick 36 Tachim Medjo, Theodore 36 Zaag, Hatem 35 Cianchi, Andrea 35 Helffer, Bernard 35 Liu, Zuhan 35 Velázquez, Juan J. L. 34 Dipierro, Serena 34 Lions, Pierre-Louis 33 Fan, Jishan 33 Jeanjean, Louis 33 Tang, Zhongwei 33 Zhou, Yong 32 Bartsch, Thomas J. 32 Hayashi, Nakao 32 Yang, Jianfu 32 Zhang, Fubao 31 Benci, Vieri 31 Komech, Alexander Ilich 31 Lee, Youngae 31 Molle, Riccardo 31 Pacella, Filomena 31 Pucci, Patrizia 31 Souplet, Philippe 31 Vasseur, Alexis F. 31 Zhang, Jian 31 Zhang, Zhitao 30 Barles, Guy 30 Bartolucci, Daniele 30 Bonheure, Denis 30 Chtioui, Hichem 30 Cingolani, Silvia 30 Clapp, Mónica 30 Du, Yihong 30 Duzaar, Frank 30 Fonseca, Irene 30 Laurençot, Philippe 30 Li, Gongbao 30 Novaga, Matteo 30 Saut, Jean-Claude 30 Sreenadh, Konijeti 30 Tanaka, Kazunaga 29 García-Melián, Jorge 29 Lewin, Mathieu 29 Liu, Chungen 29 Nguyen, Hoai-Minh 29 Sciunzi, Berardino 29 Souganidis, Panagiotis E. 29 Trélat, Emmanuel ...and 14,588 more Authors
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### Cited in 681 Journals

 1,677 Journal of Differential Equations 1,202 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1,140 Journal of Mathematical Analysis and Applications 814 Calculus of Variations and Partial Differential Equations 663 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 632 Archive for Rational Mechanics and Analysis 519 Journal of Functional Analysis 476 Discrete and Continuous Dynamical Systems 367 Journal de Mathématiques Pures et Appliquées. Neuvième Série 354 Communications in Mathematical Physics 319 Communications in Partial Differential Equations 316 SIAM Journal on Mathematical Analysis 313 Transactions of the American Mathematical Society 313 Communications on Pure and Applied Analysis 287 ZAMP. Zeitschrift für angewandte Mathematik und Physik 285 Journal of Mathematical Physics 262 NoDEA. Nonlinear Differential Equations and Applications 249 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 248 Nonlinear Analysis. Real World Applications 238 Annali di Matematica Pura ed Applicata. Serie Quarta 237 Advances in Mathematics 227 Proceedings of the American Mathematical Society 222 Communications in Contemporary Mathematics 204 Boundary Value Problems 193 Applied Mathematics Letters 189 Comptes Rendus. Mathématique. Académie des Sciences, Paris 188 Nonlinear Analysis. Theory, Methods & Applications 176 Nonlinearity 168 Advanced Nonlinear Studies 166 Applicable Analysis 166 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 166 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 161 Discrete and Continuous Dynamical Systems. Series B 158 Mathematische Annalen 155 The Journal of Geometric Analysis 150 Physica D 146 Journal of Mathematical Fluid Mechanics 129 Mathematical Methods in the Applied Sciences 122 Complex Variables and Elliptic Equations 120 Journal of Evolution Equations 119 Journal of Dynamics and Differential Equations 117 Advances in Nonlinear Analysis 115 Computers & Mathematics with Applications 114 Manuscripta Mathematica 108 Applied Mathematics and Optimization 108 SIAM Journal on Control and Optimization 106 Journal of Statistical Physics 103 Journal of Computational Physics 101 Discrete and Continuous Dynamical Systems. Series S 99 Mathematische Zeitschrift 98 Applied Mathematics and Computation 94 Duke Mathematical Journal 93 Acta Applicandae Mathematicae 89 Journal of the European Mathematical Society (JEMS) 89 Acta Mathematica Sinica. English Series 85 Science China. Mathematics 84 Journal of Mathematical Sciences (New York) 81 Journal d’Analyse Mathématique 80 Ergodic Theory and Dynamical Systems 80 Journal of Nonlinear Science 80 Journal of Fixed Point Theory and Applications 78 Communications on Pure and Applied Mathematics 78 Inventiones Mathematicae 77 Analysis & PDE 74 Journal of Optimization Theory and Applications 72 Abstract and Applied Analysis 67 Revista Matemática Iberoamericana 66 Annales Henri Poincaré 65 Chinese Annals of Mathematics. Series B 65 Kinetic and Related Models 64 Topological Methods in Nonlinear Analysis 63 Mediterranean Journal of Mathematics 63 Advances in Calculus of Variations 62 Journal of Dynamical and Control Systems 57 Potential Analysis 57 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 54 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 54 Séminaire Laurent Schwartz. EDP et Applications 52 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 52 Acta Mathematica Scientia. Series B. (English Edition) 51 SN Partial Differential Equations and Applications 50 Journal of Elliptic and Parabolic Equations 49 Journal of Computational and Applied Mathematics 49 Milan Journal of Mathematics 46 Journal of Hyperbolic Differential Equations 45 Quarterly of Applied Mathematics 45 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 44 Rocky Mountain Journal of Mathematics 44 Asymptotic Analysis 44 Journal of Scientific Computing 43 Mathematische Nachrichten 43 Electronic Journal of Differential Equations (EJDE) 42 Monatshefte für Mathematik 42 Stochastic Processes and their Applications 42 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 42 Mathematical Control and Related Fields 41 Numerische Mathematik 41 Applied and Computational Harmonic Analysis 41 Evolution Equations and Control Theory 40 Zeitschrift für Analysis und ihre Anwendungen ...and 581 more Journals
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### Cited in 61 Fields

 17,396 Partial differential equations (35-XX) 2,935 Fluid mechanics (76-XX) 2,710 Calculus of variations and optimal control; optimization (49-XX) 2,008 Dynamical systems and ergodic theory (37-XX) 1,754 Global analysis, analysis on manifolds (58-XX) 1,229 Differential geometry (53-XX) 1,124 Operator theory (47-XX) 1,012 Ordinary differential equations (34-XX) 1,004 Biology and other natural sciences (92-XX) 959 Statistical mechanics, structure of matter (82-XX) 903 Functional analysis (46-XX) 881 Numerical analysis (65-XX) 875 Mechanics of deformable solids (74-XX) 848 Systems theory; control (93-XX) 753 Probability theory and stochastic processes (60-XX) 714 Quantum theory (81-XX) 618 Real functions (26-XX) 427 Mechanics of particles and systems (70-XX) 381 Integral equations (45-XX) 375 Harmonic analysis on Euclidean spaces (42-XX) 316 Optics, electromagnetic theory (78-XX) 281 Operations research, mathematical programming (90-XX) 237 Potential theory (31-XX) 229 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 215 Measure and integration (28-XX) 187 Functions of a complex variable (30-XX) 182 Classical thermodynamics, heat transfer (80-XX) 159 Convex and discrete geometry (52-XX) 124 Manifolds and cell complexes (57-XX) 119 Geophysics (86-XX) 118 Several complex variables and analytic spaces (32-XX) 98 Relativity and gravitational theory (83-XX) 81 Topological groups, Lie groups (22-XX) 76 Difference and functional equations (39-XX) 74 Approximations and expansions (41-XX) 70 Information and communication theory, circuits (94-XX) 68 General topology (54-XX) 67 Astronomy and astrophysics (85-XX) 59 Computer science (68-XX) 50 Linear and multilinear algebra; matrix theory (15-XX) 42 Algebraic topology (55-XX) 41 Statistics (62-XX) 40 Algebraic geometry (14-XX) 28 History and biography (01-XX) 28 Abstract harmonic analysis (43-XX) 27 Integral transforms, operational calculus (44-XX) 26 Special functions (33-XX) 26 Geometry (51-XX) 21 General and overarching topics; collections (00-XX) 19 Combinatorics (05-XX) 19 Number theory (11-XX) 13 Nonassociative rings and algebras (17-XX) 9 Associative rings and algebras (16-XX) 8 Sequences, series, summability (40-XX) 5 Category theory; homological algebra (18-XX) 5 Group theory and generalizations (20-XX) 4 Mathematical logic and foundations (03-XX) 4 Commutative algebra (13-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 General algebraic systems (08-XX) 1 Mathematics education (97-XX)