## Progress in Nonlinear Differential Equations and Their Applications

 Short Title: Prog. Nonlinear Differ. Equ. Appl. Publisher: Birkhäuser, Cham ISSN: 1421-1750; 2374-0280/e Online: http://rd.springer.com/bookseries/4889 Comments: Book series; Indexed cover-to-cover
 Documents Indexed: 98 Publications (since 1989)
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### Latest Volumes

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### Authors / Editors

 5 Colombini, Ferruccio 4 Dal Maso, Gianni 4 Ruf, Bernhard 3 Coron, Jean-Michel 3 Del Santo, Daniele 3 Escher, Joachim 3 Tomarelli, Franco 2 Ambrosetti, Antonio 2 Berestycki, Henri 2 Bove, Antonio 2 Brézis, Haïm 2 Cazenave, Thierry 2 Chipot, Michel 2 Dacorogna, Bernard 2 Gutiérrez, Cristian E. 2 Le Rousseau, Jérôme H. 2 Lebeau, Gilles 2 Li, Tatsien 2 Matzeu, Michele 2 Peletier, Lambertus Adrianus 2 Rabinowitz, Paul Henry 2 Robbiano, Luc 2 Serrin, James 2 Simonett, Gieri 2 Tomei, Carlos 2 Vignoli, Alfonso 1 Aftalion, Amandine 1 Alikakos, Nicholas D. 1 Alinhac, Serge 1 Antontsev, Stanislav Nikolaevich 1 Appell, Jürgen M. 1 Arcoya, David 1 Bahri, Abbas 1 Baird, Paul 1 Baker, Garth A. 1 Balakrishnan, Alampallam Venkatachalaiyer 1 Bandle, Catherine 1 Barbu, Viorel 1 Bastin, Georges 1 Bayen, Alexandre M. 1 Beals, Michael 1 Benci, Vieri 1 Berti, Massimiliano 1 Bethuel, Fabrice 1 Brighi, Bernard 1 Brillard, Alain 1 Broer, Henk W. 1 Bucur, Dorin 1 Buttazzo, Giuseppe 1 Cannarsa, Piermarco 1 Cea, Jean 1 Cerami, Giovanna 1 Chang, Kung-Ching 1 Chenais, Denise 1 Cherkaev, Andrej V. 1 Cicognani, Massimo 1 Costa, David Goldstein 1 Coti Zelati, Vittorio 1 Csató, Gyula 1 Guedes de Figueiredo, Djairo 1 Degiovanni, Marco 1 Dell’Antonio, Gian Fausto 1 Delle Monache, Maria Laura 1 DeSimone, Antonio 1 Díaz Díaz, Jesús Ildefonso 1 Dinca, George 1 Do Ó, João M. Bezerra 1 do Rosário Grossinho, Maria 1 Duistermaat, Johannes Jisse 1 Ecker, Klaus 1 Ekeland, Ivar 1 El Soufi, Ahmad 1 Fardoun, Ali 1 Fitzmaurice, N. 1 Flucher, Martin 1 Fokas, Athanassios S. 1 Fortunato, Donato 1 Fournais, Søren 1 Freire, Alexandre 1 Freistühler, Heinrich 1 Fusco, Giorgio 1 Galaktionov, Victor Aleksandrovich 1 Garavello, Mauro 1 Gel’fand, Israil’ Moiseevich 1 Geymonat, Giuseppe 1 Giannoni, Fabio 1 Giga, Mi-Ho 1 Giga, Yoshikazu 1 Gilding, Brian H. 1 Gindikin, Simon Grigorevich 1 Goatin, Paola 1 Gossez, Jean-Pierre 1 Guidotti, Patrick Q. 1 Gurarie, David 1 Hélein, Frédéric 1 Helffer, Bernard 1 Hieber, Matthias 1 Hörmander, Lars Valter 1 Hoveijn, Igor 1 Hyers, Donald H. ...and 91 more Authors
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### Fields

 81 Partial differential equations (35-XX) 43 General and overarching topics; collections (00-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 21 Global analysis, analysis on manifolds (58-XX) 14 Ordinary differential equations (34-XX) 11 Operator theory (47-XX) 10 Fluid mechanics (76-XX) 10 Systems theory; control (93-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Mechanics of deformable solids (74-XX) 7 Differential geometry (53-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Functional analysis (46-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Quantum theory (81-XX) 3 Biology and other natural sciences (92-XX) 2 Real functions (26-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Astronomy and astrophysics (85-XX)

### Citations contained in zbMATH Open

69 Publications have been cited 7,992 times in 7,638 Documents Cited by Year
Minimax theorems. Zbl 0856.49001
Willem, Michel
1996
Analytic semigroups and optimal regularity in parabolic problems. Zbl 0816.35001
Lunardi, Alessandra
1995
An introduction to $$\Gamma$$-convergence. Zbl 0816.49001
Dal Maso, Gianni
1993
Stability of functional equations in several variables. Zbl 0907.39025
Hyers, Donald H.; Isac, George; Rassias, Themistocles M.
1998
Semiconcave functions, Hamilton-Jacobi equations, and optimal control. Zbl 1095.49003
Cannarsa, Piermarco; Sinestrari, Carlo
2004
The maximum principle. Zbl 1134.35001
Pucci, Patrizia; Serrin, James
2007
Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling. Zbl 1401.49002
Santambrogio, Filippo
2015
Infinite dimensional Morse theory and multiple solution problems. Zbl 0779.58005
Chang, Kung-ching
1993
Ginzburg-Landau vortices. Zbl 0802.35142
Bethuel, Fabrice; Brézis, Haïm; Hélein, Frédéric
1994
Parametrized measures and variational principles. Zbl 0879.49017
Pedregal, Pablo
1997
Variational methods in shape optimization problems. Zbl 1117.49001
Bucur, Dorin; Buttazzo, Giuseppe
2005
Vortices in the magnetic Ginzburg-Landau model. Zbl 1112.35002
Sandier, Etienne; Serfaty, Sylvia
2007
The Monge-Ampère equation. Zbl 0989.35052
Gutiérrez, Cristian E.
2001
Differential inclusions in nonsmooth mechanical problems. Shocks and dry friction. Zbl 0802.73003
Monteiro Marques, Manuel D. P.
1993
Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics. Zbl 0988.35002
Antontsev, S. N.; Díaz, J. I.; Shmarev, S.
2002
Quasi-hydrodynamic semiconductor equations. Zbl 0969.35001
Jüngel, Ansgar
2001
Stability and boundary stabilization of 1-D hyperbolic systems. Zbl 1377.35001
Bastin, Georges; Coron, Jean-Michel
2016
Spectral methods in surface superconductivity. Zbl 1256.35001
Fournais, Søren; Helffer, Bernard
2010
Regularity theory for mean curvature flow. Zbl 1058.53054
Ecker, Klaus
2004
Travelling waves in nonlinear diffusion-convection reaction. Zbl 1073.35002
Gilding, Brian H.; Kersner, Robert
2004
Models of phase transitions. Zbl 0882.35004
Visintin, Augusto
1996
Periodic solutions of singular Lagrangian systems. Zbl 0785.34032
Ambrosetti, Antonio; Coti Zelati, Vittorio
1993
Implicit partial differential equations. Zbl 0938.35002
Dacorogna, Bernard; Marcellini, Paolo
1999
Spatial patterns. Higher order models in physics and mechanics. Zbl 1076.34515
Peletier, L. A.; Troy, W. C.
2001
Blowup for nonlinear hyperbolic equations. Zbl 0820.35001
Alinhac, Serge
1995
Free energy and self-interacting particles. Zbl 1082.35006
Suzuki, Takashi
2005
Nonlinear partial differential equations. Asymptotic behavior of solutions and self-similar solutions. Zbl 1215.35001
Giga, Mi-Ho; Giga, Yoshikazu; Saal, Jürgen
2010
Systems of conservation laws. Two-dimensional Riemann problems. Zbl 0971.35002
Zheng, Yuxi
2001
Entire solutions of semilinear elliptic equations. Zbl 0882.35003
Kuzin, I.; Pohozaev, S.
1997
Linear and nonlinear aspects of vortices. The Ginzburg-Landau model. Zbl 0948.35003
Pacard, Frank; Rivière, Tristan
2000
Vortices in Bose-Einstein condensates. Zbl 1129.82004
Aftalion, Amandine
2006
Self-dual gauge field vortices. An analytical approach. Zbl 1177.58011
Tarantello, Gabriella
2008
The pullback equation for differential forms. Zbl 1247.58003
Csató, Gyula; Dacorogna, Bernard; Kneuss, Olivier
2012
Variational methods in image segmentation with 7 image processing experiments. Zbl 0827.68111
Morel, Jean-Michel; Solimini, Sergio
1994
Geometry of harmonic maps. Zbl 0848.58014
Xin, Yuanlong
1996
Variational problems with concentration. Zbl 0940.35006
Flucher, Martin
1999
Propagation and interaction of singularities in nonlinear hyperbolic problems. Zbl 0698.35100
Beals, Michael
1989
The Monge-Ampère equation. 2nd edition. Zbl 1356.35004
Gutiérrez, Cristian E.
2016
An introduction to nonlinear functional analysis and elliptic problems. Zbl 1228.46001
Ambrosetti, Antonio; Arcoya, David
2011
Extensions of Moser-Bangert theory. Locally minimal solutions. Zbl 1234.35005
Rabinowitz, Paul H.; Stredulinsky, Edward W.
2011
The heat kernel Lefschetz fixed point formula for the spin-c dirac operator. Zbl 0858.58045
Duistermaat, J. J.
1996
Nonlinear oscillations of Hamiltonian PDEs. Zbl 1146.35002
Berti, Massimiliano
2007
Topics in the mathematical modelling of composite materials. Zbl 0870.00018
1997
Global propagation of regular nonlinear hyperbolic waves. Zbl 1179.35006
Li, Tatsien; Wang, Libin
2009
Controllability and stabilization of parabolic equations. Zbl 1417.93005
Barbu, Viorel
2018
Boundary synchronization for hyperbolic systems. Zbl 1443.93002
Li, Tatsien; Rao, Bopeng
2019
Fuchsian reduction. Applications to geometry, cosmology and mathematical physics. Zbl 1169.35002
2007
A stability technique for evolution partial differential equations. A dynamical systems approach. Zbl 1065.35002
Galaktionov, Victor A.; Vázquez, Juan Luis
2004
Elliptic systems of phase transition type. Zbl 1436.35002
Alikakos, Nicholas D.; Fusco, Giorgio; Smyrnelis, Panayotis
2018
Time optimal control of evolution equations. Zbl 1406.49002
Wang, Gengsheng; Wang, Lijuan; Xu, Yashan; Zhang, Yubiao
2018
Flow lines and algebraic invariants in contact form geometry. Zbl 1079.58007
Bahri, Abbas
2003
Boundary stabilization of parabolic equations. Zbl 1421.93066
Munteanu, Ionuţ
2019
Advances in the theory of shock waves. Zbl 0966.00009
2001
Algebraic aspects of integrable systems: in memory of Irene Dorfman. Zbl 0851.00060
1997
Topological nonlinear analysis: degree, singularity, and variations. Papers presented in part at the topological analysis workshop on degree, singularity, and variations, held in May 1993 in Frascati, Italy. Zbl 0809.00007
1995
Partial differential equations and the calculus of variations. Essays in honor of Ennio De Giorgi. Volume I and II. Zbl 0671.00007
Colombini, Ferruccio; Marino, A.; Modica, L.; Spagnolo, Sergio
1989
Brouwer degree. The core of nonlinear analysis. Zbl 07301627
Dinca, George; Mawhin, Jean
2021
Recent trends in nonlinear analysis. Festschrift dedicated to Alfonso Vignoli on the occasion of his 60th birthday. Zbl 0934.00032
2000
Sobolev maps to the circle. From the perspective of analysis, geometry, and topology. Zbl 07332819
Brezis, Haïm; Mironescu, Petru
2021
Topics in nonlinear analysis. The Herbert Amann anniversary volume. Zbl 0903.00112
1999
Nonlinear dynamical systems and chaos. Proceedings of the dynamical systems conference, held at the University of Groningen, Netherlands in Dec. 1995, in honour of Johann Bernoulli. Zbl 0830.00032
1996
Variational methods. Proceedings of a conference, Paris/France, June 1988. Zbl 0713.00009
1990
Contributions to nonlinear elliptic equations and systems. A tribute to Djairo Guedes de Figueiredo on the occasion of his 80th birthday. Zbl 1336.35006
2015
Seminar on dynamical systems. Euler International Mathematical Institut, St. Petersburg, Russia, October 14-25 and November 18-29, 1991. Zbl 0782.00078
1994
Nonlinear waves and weak turbulence with applications in oceanography and condensed matter physics. Outgrowth of the NSF-CBMS conference held at Case Western Reserve University, Cleveland, OH, USA, May 1992. Zbl 0787.00033
1993
Carleman estimates and applications to uniqueness and control theory. Zbl 0966.00010
2001
Variational and topological methods in the study of nonlinear phenomena. Papers from the international conference, Pisa, Italy, January–February 2000. Zbl 1009.00018
2002
Elliptic Carleman estimates and applications to stabilization and controllability. Volume I. Dirichlet boundary conditions on Euclidean space. Zbl 1497.35005
Le Rousseau, Jérôme; Lebeau, Gilles; Robbiano, Luc
2022
Elliptic Carleman estimates and applications to stabilization and controllability. Volume II. General boundary conditions on Riemannian manifolds. Zbl 1497.35006
Le Rousseau, Jérôme; Lebeau, Gilles; Robbiano, Luc
2022
Elliptic Carleman estimates and applications to stabilization and controllability. Volume I. Dirichlet boundary conditions on Euclidean space. Zbl 1497.35005
Le Rousseau, Jérôme; Lebeau, Gilles; Robbiano, Luc
2022
Elliptic Carleman estimates and applications to stabilization and controllability. Volume II. General boundary conditions on Riemannian manifolds. Zbl 1497.35006
Le Rousseau, Jérôme; Lebeau, Gilles; Robbiano, Luc
2022
Brouwer degree. The core of nonlinear analysis. Zbl 07301627
Dinca, George; Mawhin, Jean
2021
Sobolev maps to the circle. From the perspective of analysis, geometry, and topology. Zbl 07332819
Brezis, Haïm; Mironescu, Petru
2021
Boundary synchronization for hyperbolic systems. Zbl 1443.93002
Li, Tatsien; Rao, Bopeng
2019
Boundary stabilization of parabolic equations. Zbl 1421.93066
Munteanu, Ionuţ
2019
Controllability and stabilization of parabolic equations. Zbl 1417.93005
Barbu, Viorel
2018
Elliptic systems of phase transition type. Zbl 1436.35002
Alikakos, Nicholas D.; Fusco, Giorgio; Smyrnelis, Panayotis
2018
Time optimal control of evolution equations. Zbl 1406.49002
Wang, Gengsheng; Wang, Lijuan; Xu, Yashan; Zhang, Yubiao
2018
Stability and boundary stabilization of 1-D hyperbolic systems. Zbl 1377.35001
Bastin, Georges; Coron, Jean-Michel
2016
The Monge-Ampère equation. 2nd edition. Zbl 1356.35004
Gutiérrez, Cristian E.
2016
Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling. Zbl 1401.49002
Santambrogio, Filippo
2015
Contributions to nonlinear elliptic equations and systems. A tribute to Djairo Guedes de Figueiredo on the occasion of his 80th birthday. Zbl 1336.35006
2015
The pullback equation for differential forms. Zbl 1247.58003
Csató, Gyula; Dacorogna, Bernard; Kneuss, Olivier
2012
An introduction to nonlinear functional analysis and elliptic problems. Zbl 1228.46001
Ambrosetti, Antonio; Arcoya, David
2011
Extensions of Moser-Bangert theory. Locally minimal solutions. Zbl 1234.35005
Rabinowitz, Paul H.; Stredulinsky, Edward W.
2011
Spectral methods in surface superconductivity. Zbl 1256.35001
Fournais, Søren; Helffer, Bernard
2010
Nonlinear partial differential equations. Asymptotic behavior of solutions and self-similar solutions. Zbl 1215.35001
Giga, Mi-Ho; Giga, Yoshikazu; Saal, Jürgen
2010
Global propagation of regular nonlinear hyperbolic waves. Zbl 1179.35006
Li, Tatsien; Wang, Libin
2009
Self-dual gauge field vortices. An analytical approach. Zbl 1177.58011
Tarantello, Gabriella
2008
The maximum principle. Zbl 1134.35001
Pucci, Patrizia; Serrin, James
2007
Vortices in the magnetic Ginzburg-Landau model. Zbl 1112.35002
Sandier, Etienne; Serfaty, Sylvia
2007
Nonlinear oscillations of Hamiltonian PDEs. Zbl 1146.35002
Berti, Massimiliano
2007
Fuchsian reduction. Applications to geometry, cosmology and mathematical physics. Zbl 1169.35002
2007
Vortices in Bose-Einstein condensates. Zbl 1129.82004
Aftalion, Amandine
2006
Variational methods in shape optimization problems. Zbl 1117.49001
Bucur, Dorin; Buttazzo, Giuseppe
2005
Free energy and self-interacting particles. Zbl 1082.35006
Suzuki, Takashi
2005
Semiconcave functions, Hamilton-Jacobi equations, and optimal control. Zbl 1095.49003
Cannarsa, Piermarco; Sinestrari, Carlo
2004
Regularity theory for mean curvature flow. Zbl 1058.53054
Ecker, Klaus
2004
Travelling waves in nonlinear diffusion-convection reaction. Zbl 1073.35002
Gilding, Brian H.; Kersner, Robert
2004
A stability technique for evolution partial differential equations. A dynamical systems approach. Zbl 1065.35002
Galaktionov, Victor A.; Vázquez, Juan Luis
2004
Flow lines and algebraic invariants in contact form geometry. Zbl 1079.58007
Bahri, Abbas
2003
Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics. Zbl 0988.35002
Antontsev, S. N.; Díaz, J. I.; Shmarev, S.
2002
Variational and topological methods in the study of nonlinear phenomena. Papers from the international conference, Pisa, Italy, January–February 2000. Zbl 1009.00018
2002
The Monge-Ampère equation. Zbl 0989.35052
Gutiérrez, Cristian E.
2001
Quasi-hydrodynamic semiconductor equations. Zbl 0969.35001
Jüngel, Ansgar
2001
Spatial patterns. Higher order models in physics and mechanics. Zbl 1076.34515
Peletier, L. A.; Troy, W. C.
2001
Systems of conservation laws. Two-dimensional Riemann problems. Zbl 0971.35002
Zheng, Yuxi
2001
Advances in the theory of shock waves. Zbl 0966.00009
2001
Carleman estimates and applications to uniqueness and control theory. Zbl 0966.00010
2001
Linear and nonlinear aspects of vortices. The Ginzburg-Landau model. Zbl 0948.35003
Pacard, Frank; Rivière, Tristan
2000
Recent trends in nonlinear analysis. Festschrift dedicated to Alfonso Vignoli on the occasion of his 60th birthday. Zbl 0934.00032
2000
Implicit partial differential equations. Zbl 0938.35002
Dacorogna, Bernard; Marcellini, Paolo
1999
Variational problems with concentration. Zbl 0940.35006
Flucher, Martin
1999
Topics in nonlinear analysis. The Herbert Amann anniversary volume. Zbl 0903.00112
1999
Stability of functional equations in several variables. Zbl 0907.39025
Hyers, Donald H.; Isac, George; Rassias, Themistocles M.
1998
Parametrized measures and variational principles. Zbl 0879.49017
Pedregal, Pablo
1997
Entire solutions of semilinear elliptic equations. Zbl 0882.35003
Kuzin, I.; Pohozaev, S.
1997
Topics in the mathematical modelling of composite materials. Zbl 0870.00018
1997
Algebraic aspects of integrable systems: in memory of Irene Dorfman. Zbl 0851.00060
1997
Minimax theorems. Zbl 0856.49001
Willem, Michel
1996
Models of phase transitions. Zbl 0882.35004
Visintin, Augusto
1996
Geometry of harmonic maps. Zbl 0848.58014
Xin, Yuanlong
1996
The heat kernel Lefschetz fixed point formula for the spin-c dirac operator. Zbl 0858.58045
Duistermaat, J. J.
1996
Nonlinear dynamical systems and chaos. Proceedings of the dynamical systems conference, held at the University of Groningen, Netherlands in Dec. 1995, in honour of Johann Bernoulli. Zbl 0830.00032
1996
Analytic semigroups and optimal regularity in parabolic problems. Zbl 0816.35001
Lunardi, Alessandra
1995
Blowup for nonlinear hyperbolic equations. Zbl 0820.35001
Alinhac, Serge
1995
Topological nonlinear analysis: degree, singularity, and variations. Papers presented in part at the topological analysis workshop on degree, singularity, and variations, held in May 1993 in Frascati, Italy. Zbl 0809.00007
1995
Ginzburg-Landau vortices. Zbl 0802.35142
Bethuel, Fabrice; Brézis, Haïm; Hélein, Frédéric
1994
Variational methods in image segmentation with 7 image processing experiments. Zbl 0827.68111
Morel, Jean-Michel; Solimini, Sergio
1994
Seminar on dynamical systems. Euler International Mathematical Institut, St. Petersburg, Russia, October 14-25 and November 18-29, 1991. Zbl 0782.00078
1994
An introduction to $$\Gamma$$-convergence. Zbl 0816.49001
Dal Maso, Gianni
1993
Infinite dimensional Morse theory and multiple solution problems. Zbl 0779.58005
Chang, Kung-ching
1993
Differential inclusions in nonsmooth mechanical problems. Shocks and dry friction. Zbl 0802.73003
Monteiro Marques, Manuel D. P.
1993
Periodic solutions of singular Lagrangian systems. Zbl 0785.34032
Ambrosetti, Antonio; Coti Zelati, Vittorio
1993
Nonlinear waves and weak turbulence with applications in oceanography and condensed matter physics. Outgrowth of the NSF-CBMS conference held at Case Western Reserve University, Cleveland, OH, USA, May 1992. Zbl 0787.00033
1993
Variational methods. Proceedings of a conference, Paris/France, June 1988. Zbl 0713.00009
1990
Propagation and interaction of singularities in nonlinear hyperbolic problems. Zbl 0698.35100
Beals, Michael
1989
Partial differential equations and the calculus of variations. Essays in honor of Ennio De Giorgi. Volume I and II. Zbl 0671.00007
Colombini, Ferruccio; Marino, A.; Modica, L.; Spagnolo, Sergio
1989
all top 5

### Cited by 6,890 Authors

 146 Papageorgiou, Nikolaos S. 97 Tang, Xianhua 54 Rădulescu, Vicenţiu D. 49 Park, Choonkil 48 Alves, Claudianor Oliveira 43 Jung, Soon-Mo 39 Zhang, Jian 38 Cannarsa, Piermarco 37 Brzdęk, Janusz 36 Zou, Wenming 34 Tang, Chun-Lei 33 Chen, Haibo 31 Buttazzo, Giuseppe 30 Chen, Sitong 30 Eshaghi Gordji, Madjid 30 Wu, Tsungfang 30 Yang, Minbo 29 Gasiński, Leszek 29 Zhang, Wen 28 Antontsev, Stanislav Nikolaevich 28 Kachmar, Ayman 28 Santambrogio, Filippo 28 Vetro, Calogero 27 Dacorogna, Bernard 27 Li, Yeping 25 Braides, Andrea 25 Ding, Yanheng 24 Miyagaki, Olimpio Hiroshi 24 Serfaty, Sylvia 24 Van Schaftingen, Jean 23 Conti, Sergio 23 Díaz Díaz, Jesús Ildefonso 23 Figueiredo, Giovany Malcher 23 Ma, Shiwang 23 Repovš, Dušan D. 23 Wei, Juncheng 22 Bucur, Dorin 22 Pedregal, Pablo 22 Vetro, Francesca 22 Wang, Zhi-Qiang 21 Chen, Guanwei 21 Escher, Joachim 21 Helffer, Bernard 21 Rassias, John Michael 20 Kružík, Martin 20 Zhao, Fukun 19 Chen, Jianqing 19 Fragalà, Ilaria 19 Rassias, Themistocles Michael 19 Wang, Jun 19 Winkert, Patrick 18 Chung, Jaeyoung 18 Favini, Angelo 18 Hernández, Eduardo M. 18 Müller, Stefan 18 O’Regan, Donal 18 Qin, Dongdong 18 Raymond, Nicolas 18 Suzuki, Takashi 17 Bouchitté, Guy 17 Cardaliaguet, Pierre 17 Chen, Shaowei 17 Fonseca, Irene 17 Giga, Yoshikazu 17 Lin, Chang-Shou 17 Najati, Abbas 17 Prieur, Christophe 17 Schechter, Martin 17 Sciunzi, Berardino 17 Terracini, Susanna 17 Thibault, Lionel 16 Ambrosio, Vincenzo 16 Clapp, Mónica 16 Diagana, Toka 16 Feireisl, Eduard 16 Frankowska, Hélène 16 He, Xiaoming 16 Jerrard, Robert Leon 16 Lei, Yutian 16 Lorenzi, Luca 16 Velichkov, Bozhidar 16 Zhang, Jihui 15 Carlier, Guillaume 15 Correggi, Michele 15 Dal Maso, Gianni 15 Figalli, Alessio 15 Furtado, Marcelo Fernandes 15 Liang, Sihua 15 Maldonado, Diego 15 Matioc, Bogdan-Vasile 15 Poláčik, Peter 15 Prüß, Jan Wilhelm 15 Rougerie, Nicolas 15 Schnaubelt, Roland 15 Stefanelli, Ulisse 15 Zaag, Hatem 15 Zhang, Shiqing 14 Cheng, Wei 14 Farina, Alberto 14 Garcke, Harald ...and 6,790 more Authors
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### Cited in 563 Journals

 491 Journal of Mathematical Analysis and Applications 480 Journal of Differential Equations 373 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 318 Calculus of Variations and Partial Differential Equations 189 Archive for Rational Mechanics and Analysis 150 Journal of Functional Analysis 139 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 114 Discrete and Continuous Dynamical Systems 106 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 106 Journal de Mathématiques Pures et Appliquées. Neuvième Série 105 NoDEA. Nonlinear Differential Equations and Applications 102 Transactions of the American Mathematical Society 96 Nonlinear Analysis. Real World Applications 96 Boundary Value Problems 94 Abstract and Applied Analysis 92 Journal of Mathematical Physics 91 SIAM Journal on Mathematical Analysis 85 Proceedings of the American Mathematical Society 80 Applied Mathematics Letters 74 Applied Mathematics and Computation 73 ZAMP. Zeitschrift für angewandte Mathematik und Physik 70 Communications on Pure and Applied Analysis 65 Communications in Mathematical Physics 65 Applied Mathematics and Optimization 61 Comptes Rendus. Mathématique. Académie des Sciences, Paris 60 Journal of Evolution Equations 59 Computers & Mathematics with Applications 59 Annali di Matematica Pura ed Applicata. Serie Quarta 57 The Journal of Geometric Analysis 57 Communications in Partial Differential Equations 56 Advances in Difference Equations 45 Journal of Optimization Theory and Applications 45 Communications in Contemporary Mathematics 42 Advances in Mathematics 42 Acta Mathematica Sinica. English Series 41 Results in Mathematics 41 Journal of Inequalities and Applications 41 Mediterranean Journal of Mathematics 41 Journal of Fixed Point Theory and Applications 40 Mathematische Annalen 40 SIAM Journal on Control and Optimization 38 Automatica 34 Chinese Annals of Mathematics. Series B 33 Applicable Analysis 33 Acta Applicandae Mathematicae 33 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 32 Discrete and Continuous Dynamical Systems. Series S 30 Journal of Dynamics and Differential Equations 30 Journal of Mathematical Sciences (New York) 29 Numerische Mathematik 29 European Journal of Applied Mathematics 29 Journal of Nonlinear Science 29 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 29 Advances in Nonlinear Analysis 28 Aequationes Mathematicae 27 Journal of Convex Analysis 27 Discrete and Continuous Dynamical Systems. Series B 27 Advanced Nonlinear Studies 27 Science China. Mathematics 26 Mathematics of Computation 26 Journal of Function Spaces 24 Systems & Control Letters 23 Journal of Computational Physics 23 Nonlinearity 23 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 23 Journal of the European Mathematical Society (JEMS) 22 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 22 Mathematische Zeitschrift 22 Topological Methods in Nonlinear Analysis 21 Journal of Statistical Physics 21 Manuscripta Mathematica 21 Quarterly of Applied Mathematics 21 Journal of Scientific Computing 21 Milan Journal of Mathematics 20 Journal of Elasticity 20 Potential Analysis 19 Communications on Pure and Applied Mathematics 19 Mathematical Methods in the Applied Sciences 19 Acta Mathematica Scientia. Series B. (English Edition) 19 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 19 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 19 Complex Variables and Elliptic Equations 18 Continuum Mechanics and Thermodynamics 18 SIAM Journal on Scientific Computing 18 Annales Henri Poincaré 18 Set-Valued and Variational Analysis 17 Rocky Mountain Journal of Mathematics 17 Duke Mathematical Journal 17 Inventiones Mathematicae 17 Journal of Computational and Applied Mathematics 17 Physica D 17 Revista Matemática Complutense 16 Acta Mathematica Hungarica 16 Electronic Journal of Differential Equations (EJDE) 16 SIAM Journal on Imaging Sciences 15 Computer Methods in Applied Mechanics and Engineering 15 Zeitschrift für Analysis und ihre Anwendungen 15 Bulletin of the American Mathematical Society. New Series 15 Mathematics and Mechanics of Solids 15 Journal of Mathematical Fluid Mechanics ...and 463 more Journals
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### Cited in 60 Fields

 5,040 Partial differential equations (35-XX) 1,409 Calculus of variations and optimal control; optimization (49-XX) 678 Operator theory (47-XX) 619 Ordinary differential equations (34-XX) 604 Global analysis, analysis on manifolds (58-XX) 458 Mechanics of deformable solids (74-XX) 455 Numerical analysis (65-XX) 443 Fluid mechanics (76-XX) 441 Differential geometry (53-XX) 420 Difference and functional equations (39-XX) 367 Statistical mechanics, structure of matter (82-XX) 339 Functional analysis (46-XX) 331 Dynamical systems and ergodic theory (37-XX) 266 Probability theory and stochastic processes (60-XX) 265 Systems theory; control (93-XX) 227 Biology and other natural sciences (92-XX) 193 Real functions (26-XX) 186 Quantum theory (81-XX) 144 Operations research, mathematical programming (90-XX) 143 Mechanics of particles and systems (70-XX) 128 Optics, electromagnetic theory (78-XX) 114 Integral equations (45-XX) 99 Computer science (68-XX) 96 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 89 Classical thermodynamics, heat transfer (80-XX) 79 Measure and integration (28-XX) 78 Information and communication theory, circuits (94-XX) 69 Statistics (62-XX) 58 Potential theory (31-XX) 51 Convex and discrete geometry (52-XX) 49 Harmonic analysis on Euclidean spaces (42-XX) 39 General topology (54-XX) 37 Several complex variables and analytic spaces (32-XX) 28 Manifolds and cell complexes (57-XX) 27 Approximations and expansions (41-XX) 26 Functions of a complex variable (30-XX) 22 Algebraic topology (55-XX) 21 Geophysics (86-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 20 Special functions (33-XX) 17 Combinatorics (05-XX) 17 Relativity and gravitational theory (83-XX) 16 Topological groups, Lie groups (22-XX) 13 Number theory (11-XX) 12 Algebraic geometry (14-XX) 12 Abstract harmonic analysis (43-XX) 10 Nonassociative rings and algebras (17-XX) 10 Geometry (51-XX) 9 Group theory and generalizations (20-XX) 9 Integral transforms, operational calculus (44-XX) 8 History and biography (01-XX) 8 Astronomy and astrophysics (85-XX) 5 General and overarching topics; collections (00-XX) 5 $$K$$-theory (19-XX) 3 Associative rings and algebras (16-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Sequences, series, summability (40-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX)