# zbMATH — the first resource for mathematics

## 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: 94 Publications (since 1989)
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#### Latest Volumes

 95 (2021) 94 (2019) 93 (2019) 92 (2018) 91 (2018) 90 (2018) 89 (2016) 88 (2016) 87 (2015) 86 (2015) 85 (2014) 84 (2013) 83 (2012) 82 (2011) 81 (2011) 80 (2011) 79 (2010) 78 (2009) 77 (2010) 76 (2009) 75 (2008) 74 (2007) 73 (2007) 72 (2008) 71 (2007) 70 (2007) 69 (2006) 68 (2006) 67 (2006) 66 (2006) 65 (2005) 64 (2005) 63 (2005) 62 (2005) 61 (2005) 60 (2004) 59 (2004) 58 (2004) 57 (2004) 56 (2004) 55 (2003) 54 (2003) 53 (2003) 52 (2003) 51 (2002) 50 (2002) 49 (2002) 48 (2002) 47 (2001) 46 (2001) 45 (2001) 44 (2001) 43 (2001) 42 (2000) 41 (2001) 40 (2000) 39 (2000) 38 (2001) 37 (1999) 36 (1999) 35 (1999) 34 (1998) 33 (1997) 32 (1997) 31 (1997) 30 (1997) 29 (1997) 28 (1996) 27 (1997) 26 (1997) 25 (1996) 24 (1996) 23 (1996) 22 (1996) 21 (1996) 20 (1996) 19 (1996) 18 (1996) 17 (1995) 16 (1995) 15 (1995) 14 (1994) 13 (1994) 12 (1994) 11 (1993) 10 (1993) 9 (1993) 8 (1993) 7 (1992) 6 (1993) 5 (1991) 4 (1990) 3 (1989) (1989)
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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 Cazenave, Thierry 2 Chipot, Michel 2 Dacorogna, Bernard 2 Gutiérrez, Cristian E. 2 Li, Tatsien 2 Matzeu, Michele 2 Peletier, Lambertus Adrianus 2 Rabinowitz, Paul Henry 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 Beals, Michael 1 Benci, Vieri 1 Berti, Massimiliano 1 Bethuel, Fabrice 1 Brézis, Haïm 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 DeSimone, Antonio 1 Diaz Diaz, Jesus 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 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 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. 1 Iannelli, Mimmo 1 Isac, George 1 Jüngel, Ansgar 1 Kajitani, Kunihiko 1 Kersner, Robert 1 Kichenassamy, Satyanad 1 Kneuss, Olivier ...and 82 more Authors
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#### Fields

 78 Partial differential equations (35-XX) 43 General and overarching topics; collections (00-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 20 Global analysis, analysis on manifolds (58-XX) 14 Ordinary differential equations (34-XX) 10 Operator theory (47-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Fluid mechanics (76-XX) 8 Mechanics of deformable solids (74-XX) 7 Systems theory; control (93-XX) 6 Differential geometry (53-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 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) 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) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

65 Publications have been cited 7,128 times in 6,820 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
Vortices in the magnetic Ginzburg-Landau model. Zbl 1112.35002
Sandier, Etienne; Serfaty, Sylvia
2007
Variational methods in shape optimization problems. Zbl 1117.49001
Bucur, Dorin; Buttazzo, Giuseppe
2005
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
Quasi-hydrodynamic semiconductor equations. Zbl 0969.35001
Jüngel, Ansgar
2001
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
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
Stability and boundary stabilization of 1-D hyperbolic systems. Zbl 1377.35001
Bastin, Georges; Coron, Jean-Michel
2016
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
Travelling waves in nonlinear diffusion-convection reaction. Zbl 1073.35002
Gilding, Brian H.; Kersner, Robert
2004
Implicit partial differential equations. Zbl 0938.35002
Dacorogna, Bernard; Marcellini, Paolo
1999
Blowup for nonlinear hyperbolic equations. Zbl 0820.35001
Alinhac, Serge
1995
Spatial patterns. Higher order models in physics and mechanics. Zbl 1076.34515
Peletier, L. A.; Troy, W. C.
2001
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
Self-dual gauge field vortices. An analytical approach. Zbl 1177.58011
Tarantello, Gabriella
2008
Systems of conservation laws. Two-dimensional Riemann problems. Zbl 0971.35002
Zheng, Yuxi
2001
Vortices in Bose-Einstein condensates. Zbl 1129.82004
Aftalion, Amandine
2006
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
The pullback equation for differential forms. Zbl 1247.58003
Csató, Gyula; Dacorogna, Bernard; Kneuss, Olivier
2012
Geometry of harmonic maps. Zbl 0848.58014
Xin, Yuanlong
1996
Variational methods in image segmentation with 7 image processing experiments. Zbl 0827.68111
Morel, Jean-Michel; Solimini, Sergio
1994
Propagation and interaction of singularities in nonlinear hyperbolic problems. Zbl 0698.35100
Beals, Michael
1989
An introduction to nonlinear functional analysis and elliptic problems. Zbl 1228.46001
Ambrosetti, Antonio; Arcoya, David
2011
Variational problems with concentration. Zbl 0940.35006
Flucher, Martin
1999
Extensions of Moser-Bangert theory. Locally minimal solutions. Zbl 1234.35005
Rabinowitz, Paul H.; Stredulinsky, Edward W.
2011
The Monge-Ampère equation. 2nd edition. Zbl 1356.35004
Gutiérrez, Cristian E.
2016
The heat kernel Lefschetz fixed point formula for the spin-c dirac operator. Zbl 0858.58045
Duistermaat, J. J.
1996
Topics in the mathematical modelling of composite materials. Zbl 0870.00018
1997
Nonlinear oscillations of Hamiltonian PDEs. Zbl 1146.35002
Berti, Massimiliano
2007
Global propagation of regular nonlinear hyperbolic waves. Zbl 1179.35006
Li, Tatsien; Wang, Libin
2009
A stability technique for evolution partial differential equations. A dynamical systems approach. Zbl 1065.35002
Galaktionov, Victor A.; Vázquez, Juan Luis
2004
Fuchsian reduction. Applications to geometry, cosmology and mathematical physics. Zbl 1169.35002
2007
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
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
Elliptic systems of phase transition type. Zbl 1436.35002
Alikakos, Nicholas D.; Fusco, Giorgio; Smyrnelis, Panayotis
2018
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
Recent trends in nonlinear analysis. Festschrift dedicated to Alfonso Vignoli on the occasion of his 60th birthday. Zbl 0934.00032
2000
Topics in nonlinear analysis. The Herbert Amann anniversary volume. Zbl 0903.00112
1999
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
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
Variational methods. Proceedings of a conference, Paris/France, June 1988. Zbl 0713.00009
1990
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
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
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
Boundary synchronization for hyperbolic systems. Zbl 1443.93002
Li, Tatsien; Rao, Bopeng
2019
Boundary stabilization of parabolic equations. Zbl 1421.93066
Munteanu, Ionuţ
2019
Time optimal control of evolution equations. Zbl 1406.49002
Wang, Gengsheng; Wang, Lijuan; Xu, Yashan; Zhang, Yubiao
2018
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
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 6,119 Authors

 131 Papageorgiou, Nikolaos S. 87 Tang, Xianhua 47 Rădulescu, Vicenţiu D. 46 Alves, Claudianor Oliveira 46 Park, Choonkil 43 Jung, Soon-Mo 36 Brzdęk, Janusz 35 Cannarsa, Piermarco 32 Zou, Wenming 31 Chen, Haibo 30 Eshaghi Gordji, Madjid 29 Gasiński, Leszek 29 Wu, Tsungfang 29 Yang, Minbo 28 Chen, Sitong 27 Antontsev, Stanislav Nikolaevich 27 Dacorogna, Bernard 27 Kachmar, Ayman 26 Buttazzo, Giuseppe 25 Ding, Yanheng 25 Li, Yeping 24 Serfaty, Sylvia 23 Conti, Sergio 23 Diaz Diaz, Jesus Ildefonso 23 Ma, Shiwang 23 Miyagaki, Olimpio Hiroshi 23 Santambrogio, Filippo 23 Vetro, Calogero 23 Zhang, Wen 22 Wang, Zhi-Qiang 21 Braides, Andrea 21 Bucur, Dorin 21 Escher, Joachim 21 Helffer, Bernard 21 Zhang, Jian 20 Chen, Guanwei 20 Figueiredo, Giovany Malcher 20 Pedregal, Pablo 20 Rassias, John Michael 20 Repovš, Dušan D. 20 Van Schaftingen, Jean 19 Fragalà, Ilaria 19 Rassias, Themistocles Michael 19 Vetro, Francesca 19 Wei, Juncheng 19 Zhao, Fukun 18 Chung, Jaeyoung 18 Kružík, Martin 18 Müller, Stefan 18 Suzuki, Takashi 17 Chen, Jianqing 17 Chen, Shaowei 17 Favini, Angelo 17 Hernández, Eduardo M. 17 Lin, Chang-Shou 17 Najati, Abbas 17 Schechter, Martin 17 Wang, Jun 17 Winkert, Patrick 16 Bouchitté, Guy 16 Cardaliaguet, Pierre 16 Fonseca, Irene 16 He, Xiaoming 16 Jerrard, Robert Leon 16 Lei, Yutian 16 Lorenzi, Luca 16 O’Regan, Donal 16 Qin, Dongdong 16 Terracini, Susanna 16 Zhang, Jihui 15 Ambrosio, Vincenzo 15 Carlier, Guillaume 15 Correggi, Michele 15 Diagana, Toka 15 Feireisl, Eduard 15 Figalli, Alessio 15 Furtado, Marcelo Fernandes 15 Giga, Yoshikazu 15 Poláčik, Peter 15 Prüß, Jan Wilhelm 15 Raymond, Nicolas 15 Stefanelli, Ulisse 15 Thibault, Lionel 15 Zaag, Hatem 15 Zhang, Shiqing 14 Clapp, Mónica 14 Frankowska, Hélène 14 Liang, Sihua 14 Long, Yiming 14 Mielke, Alexander 14 Ortiz, Michael 14 Prieur, Christophe 14 Roubíček, Tomáš 14 Rougerie, Nicolas 14 Schnaubelt, Roland 14 Valdinoci, Enrico 14 Velichkov, Bozhidar 14 Visintin, Augusto 13 Alama, Stan 13 Crasta, Graziano ...and 6,019 more Authors
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#### Cited in 512 Journals

 473 Journal of Mathematical Analysis and Applications 443 Journal of Differential Equations 356 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 291 Calculus of Variations and Partial Differential Equations 172 Archive for Rational Mechanics and Analysis 139 Journal of Functional Analysis 125 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 108 Discrete and Continuous Dynamical Systems 106 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 100 Transactions of the American Mathematical Society 99 Journal de Mathématiques Pures et Appliquées. Neuvième Série 94 Abstract and Applied Analysis 92 NoDEA. Nonlinear Differential Equations and Applications 91 Journal of Mathematical Physics 80 Proceedings of the American Mathematical Society 80 Nonlinear Analysis. Real World Applications 76 SIAM Journal on Mathematical Analysis 74 Applied Mathematics and Computation 67 Applied Mathematics Letters 66 ZAMP. Zeitschrift für angewandte Mathematik und Physik 63 Communications on Pure and Applied Analysis 62 Communications in Mathematical Physics 58 Computers & Mathematics with Applications 58 Boundary Value Problems 55 Communications in Partial Differential Equations 55 Comptes Rendus. Mathématique. Académie des Sciences, Paris 54 Annali di Matematica Pura ed Applicata. Serie Quarta 53 Applied Mathematics and Optimization 51 Advances in Difference Equations 47 Journal of Evolution Equations 42 Advances in Mathematics 42 Acta Mathematica Sinica. English Series 41 Journal of Optimization Theory and Applications 40 Results in Mathematics 40 The Journal of Geometric Analysis 40 Communications in Contemporary Mathematics 40 Mediterranean Journal of Mathematics 38 Journal of Fixed Point Theory and Applications 35 SIAM Journal on Control and Optimization 34 Journal of Inequalities and Applications 33 Mathematische Annalen 33 Chinese Annals of Mathematics. Series B 33 Acta Applicandae Mathematicae 31 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 30 Automatica 30 Discrete and Continuous Dynamical Systems. Series S 28 Aequationes Mathematicae 28 Journal of Nonlinear Science 28 Journal of Mathematical Sciences (New York) 27 Journal of Dynamics and Differential Equations 26 Applicable Analysis 26 Numerische Mathematik 26 Discrete and Continuous Dynamical Systems. Series B 26 Science China. Mathematics 25 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 24 Mathematics of Computation 24 Journal of Function Spaces 23 Advances in Nonlinear Analysis 22 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 22 Systems & Control Letters 22 European Journal of Applied Mathematics 22 Journal of the European Mathematical Society (JEMS) 21 Nonlinearity 20 Journal of Statistical Physics 20 Manuscripta Mathematica 20 Mathematische Zeitschrift 20 Journal of Elasticity 20 Milan Journal of Mathematics 19 Communications on Pure and Applied Mathematics 19 Mathematical Methods in the Applied Sciences 19 Potential Analysis 19 Advanced Nonlinear Studies 18 Journal of Computational Physics 18 Journal of Scientific Computing 18 Continuum Mechanics and Thermodynamics 17 Rocky Mountain Journal of Mathematics 17 Duke Mathematical Journal 17 Quarterly of Applied Mathematics 17 Journal of Convex Analysis 17 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 16 Journal of Computational and Applied Mathematics 16 Acta Mathematica Hungarica 16 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 16 SIAM Journal on Scientific Computing 16 Topological Methods in Nonlinear Analysis 16 Annales Henri Poincaré 16 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 16 Complex Variables and Elliptic Equations 16 Set-Valued and Variational Analysis 15 Computer Methods in Applied Mechanics and Engineering 15 Inventiones Mathematicae 15 Zeitschrift für Analysis und ihre Anwendungen 15 Physica D 15 Mathematics and Mechanics of Solids 15 Revista Matemática Complutense 14 Acta Mathematicae Applicatae Sinica. English Series 14 Science in China. Series A 14 Bulletin of the American Mathematical Society. New Series 14 Discrete Dynamics in Nature and Society 14 Journal of Applied Mathematics and Computing ...and 412 more Journals
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#### Cited in 59 Fields

 4,488 Partial differential equations (35-XX) 1,253 Calculus of variations and optimal control; optimization (49-XX) 619 Operator theory (47-XX) 561 Ordinary differential equations (34-XX) 555 Global analysis, analysis on manifolds (58-XX) 422 Mechanics of deformable solids (74-XX) 407 Numerical analysis (65-XX) 397 Difference and functional equations (39-XX) 396 Fluid mechanics (76-XX) 395 Differential geometry (53-XX) 333 Statistical mechanics, structure of matter (82-XX) 311 Functional analysis (46-XX) 303 Dynamical systems and ergodic theory (37-XX) 222 Probability theory and stochastic processes (60-XX) 221 Systems theory; control (93-XX) 193 Biology and other natural sciences (92-XX) 170 Quantum theory (81-XX) 158 Real functions (26-XX) 134 Mechanics of particles and systems (70-XX) 117 Operations research, mathematical programming (90-XX) 116 Optics, electromagnetic theory (78-XX) 104 Integral equations (45-XX) 86 Classical thermodynamics, heat transfer (80-XX) 80 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 74 Computer science (68-XX) 68 Measure and integration (28-XX) 62 Information and communication theory, circuits (94-XX) 52 Potential theory (31-XX) 45 Harmonic analysis on Euclidean spaces (42-XX) 42 Convex and discrete geometry (52-XX) 38 Statistics (62-XX) 36 General topology (54-XX) 33 Several complex variables and analytic spaces (32-XX) 26 Manifolds and cell complexes (57-XX) 23 Approximations and expansions (41-XX) 20 Algebraic topology (55-XX) 19 Functions of a complex variable (30-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 17 Special functions (33-XX) 16 Topological groups, Lie groups (22-XX) 16 Geophysics (86-XX) 15 Relativity and gravitational theory (83-XX) 12 Combinatorics (05-XX) 12 Abstract harmonic analysis (43-XX) 11 Number theory (11-XX) 11 Algebraic geometry (14-XX) 9 Nonassociative rings and algebras (17-XX) 9 Geometry (51-XX) 8 History and biography (01-XX) 8 Group theory and generalizations (20-XX) 8 Astronomy and astrophysics (85-XX) 7 Integral transforms, operational calculus (44-XX) 4 $$K$$-theory (19-XX) 3 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Associative rings and algebras (16-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX)