## Del Pino, Manuel A.

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 Author ID: del-pino.manuel-a Published as: del Pino, Manuel; Del Pino, Manuel; del Pino, Manuel A.; Del Pino, Manuel A.; del Pino, Manuel; Pino, Manuel del; del Pino, M. Homepage: http://www.mat.uc.cl/~aecuadif/manuel_dp.html External Links: MGP · ORCID
 Documents Indexed: 167 Publications since 1988 1 Further Contribution Co-Authors: 62 Co-Authors with 158 Joint Publications 1,557 Co-Co-Authors
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### Co-Authors

 9 single-authored 45 Wei, Juncheng 44 Musso, Monica 23 Felmer, Patricio L. 23 Kowalczyk, Michał 21 Dávila, Juan 14 Manasevich, Raul F. 13 Dolbeault, Jean 10 Daskalopoulos, Panagiota 9 Pacard, Frank 7 Elgueta, Manuel 6 Cortázar, Carmen 4 Pistoia, Angela 3 Agudelo, Oscar Mauricio 3 Esposito, Pierpaolo 3 Sesum, Natasa 2 Bamón, Rodrigo 2 Dipierro, Serena 2 Drábek, Pavel 2 Flores, César V. 2 Flores, Isabel 2 Gkikas, Konstantinos T. 2 Guerra, Ignacio A. 2 King, John Robert 2 Letelier, René 2 Murúa, Alejandro E. 2 Román, Carlos 2 Ruf, Bernhard 2 Sáez, Mariel 2 Valdinoci, Enrico 1 Aftalion, Amandine 1 Alama, Stan 1 Ao, Weiwei 1 Bonforte, Matteo 1 Campos, Juan F. 1 Carrillo de la Plata, José Antonio 1 Chen, Xinfu 1 Chipot, Michel 1 Cinti, Eleonora 1 Clapp, Mónica 1 Contreras, Andres A. 1 Cozzi, Matteo 1 DelaTorre, Azahara 1 Figalli, Alessio 1 Figueroa, Pablo 1 Filippas, Stathis 1 García-Melián, Jorge 1 Gentil, Ivan 1 González, María del Mar 1 Grillo, Gabriele 1 Hernandez, Gaston E. 1 Jerrard, Robert Leon 1 Mahmoudi, Fethi 1 Mingione, Giuseppe 1 Miyagaki, Olimpio Hiroshi 1 Montero, Alberto 1 Muñoz, Claudio 1 Nguyen, Xuan Hien 1 Pesce, Catalina 1 Sire, Yannick 1 Sternberg, Peter J. 1 Tanaka, Kazunaga 1 Tertikas, Achilles 1 Vaira, Giusi 1 Vazquez, Juan Luis 1 Yang, Jun 1 Yao, Wei 1 Zheng, Youquan 1 Zhou, Yifu
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### Serials

 14 Journal of Differential Equations 9 Journal of Functional Analysis 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Calculus of Variations and Partial Differential Equations 6 Proceedings of the American Mathematical Society 6 Transactions of the American Mathematical Society 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Archive for Rational Mechanics and Analysis 5 Indiana University Mathematics Journal 5 Communications in Partial Differential Equations 5 Discrete and Continuous Dynamical Systems 4 Differential and Integral Equations 3 Communications in Mathematical Physics 3 Communications on Pure and Applied Mathematics 3 Advances in Mathematics 3 Mathematische Annalen 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 IMRN. International Mathematics Research Notices 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of the European Mathematical Society (JEMS) 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Nonlinear Analysis. Theory, Methods & Applications 2 Houston Journal of Mathematics 2 Nonlinearity 2 Duke Mathematical Journal 2 Journal of Differential Geometry 2 Journal of the London Mathematical Society. Second Series 2 SIAM Journal on Mathematical Analysis 2 Mathematical Research Letters 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Communications on Pure and Applied Analysis 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Analysis & PDE 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Bulletin of the London Mathematical Society 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 Revista de la Unión Matemática Argentina 1 Chinese Annals of Mathematics. Series B 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the National Academy of Sciences of the United States of America 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Communications in Analysis and Geometry 1 Electronic Journal of Differential Equations (EJDE) 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Milan Journal of Mathematics 1 Lecture Notes in Mathematics 1 Journal of Fixed Point Theory and Applications
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### Fields

 149 Partial differential equations (35-XX) 20 Differential geometry (53-XX) 19 Ordinary differential equations (34-XX) 14 Operator theory (47-XX) 14 Global analysis, analysis on manifolds (58-XX) 7 Functional analysis (46-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 5 Real functions (26-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Fluid mechanics (76-XX) 5 Biology and other natural sciences (92-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

157 Publications have been cited 4,488 times in 2,757 Documents Cited by Year
Local mountain passes for semilinear elliptic problems in unbounded domains. Zbl 0844.35032
del Pino, Manuel A.; Felmer, Patricio L.
1996
Multi-peak bound states for nonlinear Schrödinger equations. Zbl 0901.35023
Del Pino, Manuel; Felmer, Patricio L.
1998
Semi-classical states for nonlinear Schrödinger equations. Zbl 0887.35058
Del Pino, Manuel; Felmer, Patricio L.
1997
A homotopic deformation along $$p$$ of a Leray-Schauder degree result and existence for $$(| u'| ^{p-2}u')'+f(t,u)=0$$, $$u(0)=u(T)=0$$, $$p>1$$. Zbl 0708.34019
del Pino, Manuel A.; Elgueta, Manuel; Manásevich, Raúl
1989
Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions. Zbl 1112.35310
Del Pino, Manuel; Dolbeault, Jean
2002
Concentrating standing waves for the fractional nonlinear Schrödinger equation. Zbl 1322.35162
Dávila, Juan; Del Pino, Manuel; Wei, Juncheng
2014
Singular limits in Liouville-type equations. Zbl 1088.35067
del Pino, Manuel; Kowalczyk, Michal; Musso, Monica
2005
Two-bubble solutions in the super-critical Bahri-Coron’s problem. Zbl 1142.35421
del Pino, Manuel; Felmer, Patricio; Musso, Monica
2003
Semi-classical states of nonlinear Schrödinger equations: a variational reduction method. Zbl 1030.35031
del Pino, Manuel; Felmer, Patricio
2002
On De Giorgi’s conjecture in dimension $$N\geq 9$$. Zbl 1238.35019
Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
2011
Concentration on curves for nonlinear Schrödinger equations. Zbl 1123.35003
Del Pino, Manuel; Kowalczyk, Michal; Wei, Jun-Cheng
2007
Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum. Zbl 1366.35215
Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico
2015
Existence for a fourth-order boundary value problem under a two-parameter nonresonance condition. Zbl 0725.34020
del Pino, Manuel A.; Manásevich, Raúl F.
1991
The optimal Euclidean $$L^{p}$$-Sobolev logarithmic inequality. Zbl 1091.35029
Del Pino, Manuel; Dolbeault, Jean
2003
Global bifurcation from the eigenvalues of the $$p$$-Laplacian. Zbl 0781.35017
del Pino, Manuel A.; Manásevich, Raúl F.
1991
Infinitely many $$T$$-periodic solutions for a problem arising in nonlinear elasticity. Zbl 0781.34032
del Pino, Manuel A.; Manásevich, Raúl F.
1993
Spike-layered solutions of singularly perturbed elliptic problems in a degenerate setting. Zbl 0932.35080
del Pino, Manuel; Felmer, Patricio L.
1999
$$T$$-periodic solutions for some second order differential equations with singularities. Zbl 0761.34031
del Pino, Manuel A.; Manásevich, Raúl; Montero, Alberto
1992
On the role of mean curvature in some singularly perturbed Neumann problems. Zbl 0942.35058
del Pino, Manuel; Felmer, Patricio L.; Wei, Juncheng
1999
Existence and multiplicity of solutions with prescribed period for a second order quasilinear O.D.E. Zbl 0761.34032
del Pino, Manuel A.; Manásevich, Raúl F.; Murúa, Alejandro E.
1992
The influence of domain geometry in boundary blow-up elliptic problems. Zbl 1142.35431
del Pino, Manuel; Letelier, René
2002
A global estimate for the gradient in a singular elliptic boundary value problem. Zbl 0791.35046
del Pino, Manuel A.
1992
Large energy entire solutions for the Yamabe equation. Zbl 1233.35008
del Pino, Manuel; Musso, Monica; Pacard, Frank; Pistoia, Angela
2011
The Fredholm alternative at the first eigenvalue for the one dimensional $$p$$-Laplacian. Zbl 0931.34065
del Pino, Manuel; Drábek, Pavel; Manásevich, Raul
1999
Multiple-end solutions to the Allen-Cahn equation in $$\mathbb R^2$$. Zbl 1203.35108
del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank; Wei, Juncheng
2010
Nondegeneracy of the bubble in the critical case for nonlocal equations. Zbl 1275.35028
Dávila, Juan; Del Pino, Manuel; Sire, Yannick
2013
“Bubble-tower” radial solutions in the slightly supercritical Brezis-Nirenberg problem. Zbl 1140.35413
Del Pino, Manuel; Dolbeault, Jean; Musso, Monica
2003
Boundary concentration for eigenvalue problems related to the onset of superconductivity. Zbl 0982.35077
del Pino, Manuel; Felmer, Patricio L.; Sternberg, Peter
2000
Torus action on $$S^n$$ and sign changing solutions for conformally invariant equations. Zbl 1267.53040
Del Pino, Manuel; Musso, Monica; Pacard, Frank; Pistoia, Angela
2013
On the extinction profile for solutions of $$u_t=\Delta u^{(N-2)/(N+2)}$$. Zbl 0991.35011
del Pino, Manuel; Sáez, Mariel
2001
Solutions of elliptic equations with indefinite nonlinearities via Morse theory and linking. Zbl 0851.35037
Alama, Stanley; del Pino, Manuel A.
1996
Multi-peak solutions for some singular perturbation problems. Zbl 0974.35041
del Pino, Manuel; Felmer, Patricio L.; Wei, Juncheng
2000
The Toda system and multiple-end solutions of autonomous planar elliptic problems. Zbl 1197.35114
del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank; Wei, Juncheng
2010
Super-critical boundary bubbling in a semilinear Neumann problem. Zbl 1130.35064
del Pino, Manuel; Musso, Monica; Pistoia, Angela
2005
Asymptotic behavior of best constants and extremals for trace embeddings in expanding domains. Zbl 1030.46037
del Pino, Manuel; Flores, César
2001
Multi-peak solutions for super-critical elliptic problems in domains with small holes. Zbl 1014.35028
del Pino, Manuel; Felmer, Patricio; Musso, Monica
2002
On a singular diffusion equation. Zbl 0851.35072
Daskalopoulos, Panagiota; del Pino, Manuel A.
1995
On the role of distance function in some singular perturbation problems. Zbl 0949.35054
del Pino, Manuel; Felmer, Patricio L.; Wei, Juncheng
2000
Fast and slow decay solutions for supercritical elliptic problems in exterior domains. Zbl 1147.35030
Dávila, Juan; del Pino, Manuel; Musso, Monica; Wei, Juncheng
2008
Entire solutions of the Allen-Cahn equation and complete embedded minimal surfaces of finite total curvature in $$\mathbb{R}^3$$. Zbl 1275.53015
del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng
2013
The supercritical Lane-Emden-Fowler equation in exterior domains. Zbl 1137.35023
Dávila, Juan; del Pino, Manuel; Musso, Monica
2007
The Brezis-Nirenberg problem near criticality in dimension 3. Zbl 1130.35040
del Pino, Manuel; Dolbeault, Jean; Musso, Monica
2004
Collapsing steady states of the Keller-Segel system. Zbl 1137.35007
del Pino, Manuel; Wei, Juncheng
2006
Ground states of semilinear elliptic equations: A geometric approach. Zbl 0988.35054
Bamón, Rodrigo; Flores, Isabel; del Pino, Manuel
2000
New solutions for Trudinger-Moser critical equations in $$\mathbb R^2$$. Zbl 1191.35138
del Pino, Manuel; Musso, Monica; Ruf, Bernhard
2010
Multi-bubble solutions for slightly super-critical elliptic problems in domains with symmetries. Zbl 1109.35334
Del Pino, Manuel; Felmer, Patricio; Musso, Monica
2003
The Toda system and clustering interfaces in the Allen-Cahn equation. Zbl 1163.35017
Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
2008
On the number of $$2\pi$$-periodic solutions for $$u''+g(u)=s(1+h(t))$$ using the Poincaré-Birkhoff theorem. Zbl 0745.34035
del Pino, Manuel A.; Manásevich, Raúl F.; Murúa, Alejandro
1992
Multiple solutions for the $$p$$-Laplacian under global nonresonance. Zbl 0725.34021
del Pino, Manuel A.; Manásevich, Raúl F.
1991
Delaunay-type singular solutions for the fractional Yamabe problem. Zbl 1378.35321
DelaTorre, Azahara; del Pino, Manuel; González, María del Mar; Wei, Juncheng
2017
Nonlocal $$s$$-minimal surfaces and Lawson cones. Zbl 1394.53012
Dávila, Juan; del Pino, Manuel; Wei, Juncheng
2018
The problem of uniqueness of the limit in a semilinear heat equation. Zbl 0940.35107
Cortázar, Carmen; del Pino, Manuel; Elgueta, Manuel
1999
Two-dimensional Euler flows with concentrated vorticities. Zbl 1205.35217
Del Pino, Manuel; Esposito, Pierpaolo; Musso, Monica
2010
Traveling waves with multiple and nonconvex fronts for a bistable semilinear parabolic equation. Zbl 1307.35149
Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
2013
Nondegeneracy of entire solutions of a singular Liouvillle equation. Zbl 1242.35117
del Pino, Manuel; Esposito, Pierpaolo; Musso, Monica
2012
Supercritical elliptic problems in domains with small holes. (Problèmes elliptiques supercritiques dans des domaines avec de petits trous.) Zbl 1387.35291
del Pino, Manuel; Wei, Juncheng
2007
On nonlinear parabolic equations of very fast diffusion. Zbl 0886.35081
1997
Bubbling along boundary geodesics near the second critical exponent. Zbl 1204.35090
del Pino, Manuel; Musso, Monica; Pacard, Frank
2010
Nonlinear diffusions, hypercontractivity and the optimal $$L^{p}$$-Euclidean logarithmic Sobolev inequality. Zbl 1058.35124
Del Pino, Manuel; Dolbeault, Jean; Gentil, Ivan
2004
Standing waves for supercritical nonlinear Schrödinger equations. Zbl 1124.35082
Dávila, Juan; del Pino, Manuel; Musso, Monica; Wei, Juncheng
2007
The Gierer $$\&$$ Meinhardt system: The breaking of homoclinics and multi-bump ground states. Zbl 1003.34025
del Pino, Manuel; Kowalczyk, Michał; Chen, Xinfu
2001
Ground states of a prescribed mean curvature equation. Zbl 1187.35117
del Pino, Manuel; Guerra, Ignacio
2007
Interface foliation near minimal submanifolds in Riemannian manifolds with positive Ricci curvature. Zbl 1213.35219
del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng; Yang, Jun
2010
Nonlinear diffusions and optimal constants in Sobolev type inequalities: Asymptotic behaviour of equations involving the $$p$$-Laplacian. Zbl 1090.35096
Del Pino, Manuel; Dolbeault, Jean
2002
Existence of positive bound states of nonlinear Schrödinger equations with saddle-like potential. Zbl 0943.35026
Del Pino, Manuel; Felmer, Patricio L.; Miyagaki, Olimpio H.
1998
Intermediate reduction method and infinitely many positive solutions of nonlinear Schrödinger equations with non-symmetric potentials. Zbl 1319.35249
del Pino, Manuel; Wei, Juncheng; Yao, Wei
2015
Moduli space theory for the Allen-Cahn equation in the plane. Zbl 1286.35018
Del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank
2013
Concentrating solutions in a two-dimensional elliptic problem with exponential Neumann data. Zbl 1207.35158
DÁvila, Juan; del Pino, Manuel; Musso, Monica
2005
Multi-bump ground states of the Gierer-Meinhardt system in $$\mathbb R^2$$. (Fondamentales multi-pics du système de Gierer-Meinhardt dans $$\mathbb R^2$$.) Zbl 1114.35065
del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
2003
A logarithmic Hardy inequality. Zbl 1209.26020
del Pino, Manuel; Dolbeault, Jean; Filippas, Stathis; Tertikas, Achilles
2010
Bubbling on boundary submanifolds for the Lin-Ni-Takagi problem at higher critical exponents. Zbl 1310.35136
del Pino, Manuel; Mahmoudi, Fethi; Musso, Monica
2014
Boundary singularities for weak solutions of semilinear elliptic problems. Zbl 1137.35038
del Pino, Manuel; Musso, Monica; Pacard, Frank
2007
Type II ancient compact solutions to the Yamabe flow. Zbl 1472.53102
Daskalopoulos, Panagiota; del Pino, Manuel; Sesum, Natasa
2018
Large mass boundary condensation patterns in the stationary Keller-Segel system. Zbl 1345.35039
del Pino, Manuel; Pistoia, Angela; Vaira, Giusi
2016
A priori estimates and applications to existence-nonexistence for a semilinear elliptic system. Zbl 0803.35055
del Pino, Manuel A.
1994
Radially symmetric internal layers in a semilinear elliptic system. Zbl 0853.35009
del Pino, Manuel A.
1995
Type II blow-up in the 5-dimensional energy critical heat equation. Zbl 1417.35074
del Pino, Manuel; Musso, Monica; Wei, Jun Cheng
2019
Nonlocal Delaunay surfaces. Zbl 1341.53006
Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico
2016
A counterexample to a conjecture by De Giorgi in large dimensions. Zbl 1161.35023
del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
2008
Positive solutions of a semilinear elliptic equation on a compact manifold. Zbl 0812.58077
del Pino, Manuel A.
1994
On fast diffusion nonlinear heat equations and a related singular elliptic problem. Zbl 0806.35086
Daskalopoulos, Panagiota; Del Pino, Manuel A.
1994
On the Cauchy problem for $$u_t= \Delta\log u$$ in higher dimensions. Zbl 0931.35067
1999
Variational reduction for Ginzburg-Landau vortices. Zbl 1387.35561
del Pino, Manuel; Kowalczyk, Michał; Musso, Monica
2006
Minimality and nondegeneracy of degree-one Ginzburg-Landau vortex as a Hardy’s type inequality. Zbl 1112.35055
Del Pino, Manuel; Felmer, Patricio; Kowalczyk, Michał
2004
Multiple boundary blow-up solutions for nonlinear elliptic equations. Zbl 1030.35049
Aftalion, Amandine; del Pino, Manuel; Letelier, René
2003
Non-uniqueness of positive ground states of non-linear Schrödinger equations. Zbl 1285.35108
Dávila, Juan; Del Pino, Manuel; Guerra, Ignacio
2013
An elementary construction of complex patterns in nonlinear Schrödinger equations. Zbl 1022.34037
del Pino, Manuel; Felmer, Patricio; Tanaka, Kazunaga
2002
On the blow-up set for $$u_t=\Delta u^m+u^m$$, $$m>1$$. Zbl 0916.35056
Cortázar, Carmen; Del Pino, Manuel; Elgueta, Manuel
1998
Supercritical elliptic problems from a perturbation viewpoint. Zbl 1141.35366
del Pino, Manuel
2008
Nontopological condensates for the self-dual Chern-Simons-Higgs model. Zbl 1406.35312
Del Pino, Manuel; Esposito, Pierpaolo; Figueroa, Pablo; Musso, Monica
2015
Serrin’s overdetermined problem and constant mean curvature surfaces. Zbl 1342.35188
Del Pino, Manuel; Pacard, Frank; Wei, Juncheng
2015
Layers with nonsmooth interface in a semilinear elliptic problem. Zbl 0786.35057
del Pino, Manuel A.
1992
Least energy solutions for elliptic equations in unbounded domains. Zbl 0849.35037
del Pino, Manuel A.; Felmer, Patricio L.
1996
Gluing methods for vortex dynamics in Euler flows. Zbl 1439.35382
Davila, Juan; Del Pino, Manuel; Musso, Monica; Wei, Juncheng
2020
Local minimizers for the Ginzburg-Landau energy. Zbl 0943.35086
del Pino, Manuel; Felmer, Patricio L.
1997
The two-dimensional Lazer-McKenna conjecture for an exponential nonlinearity. Zbl 1159.35372
del Pino, Manuel; Muñoz, Claudio
2006
Resonance and interior layers in an inhomogeneous phase transition model. Zbl 1229.35076
del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
2007
Generalizing Hartman’s oscillation result for $$(| x'| ^{p- 2}x')'+c(t)| x| ^{p-2}x=0$$, $$p>1$$. Zbl 0733.34039
del Pino, Manuel A.; Elgueta, Manuel; Manásevich, Raúl
1991
Type II collapsing of maximal solutions to the Ricci flow in $$\mathbb R^2$$. Zbl 1152.35412
2007
Beyond the Trudinger-Moser supremum. Zbl 1246.46037
del Pino, Manuel; Musso, Monica; Ruf, Bernhard
2012
Geometry driven type II higher dimensional blow-up for the critical heat equation. Zbl 1451.35031
del Pino, Manuel; Musso, Monica; Wei, Juncheng
2021
Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation. Zbl 1477.35153
Ao, Weiwei; Dávila, Juan; Del Pino, Manuel; Musso, Monica; Wei, Juncheng
2021
Gluing methods for vortex dynamics in Euler flows. Zbl 1439.35382
Davila, Juan; Del Pino, Manuel; Musso, Monica; Wei, Juncheng
2020
Infinite-time blow-up for the 3-dimensional energy-critical heat equation. Zbl 1435.35081
del Pino, Manuel; Musso, Monica; Wei, Juncheng
2020
Singularity formation for the two-dimensional harmonic map flow into $$S^2$$. Zbl 1445.35082
Dávila, Juan; del Pino, Manuel; Wei, Juncheng
2020
Green’s function and infinite-time bubbling in the critical nonlinear heat equation. Zbl 1432.35121
Cortázar, Carmen; Del Pino, Manuel; Musso, Monica
2020
Type II finite time blow-up for the energy critical heat equation in $$\mathbb{R}^4$$. Zbl 1439.35284
Del Pino, Manuel; Musso, Monica; Wei, Juncheng; Zhou, Yifu
2020
Interface dynamics in semilinear wave equations. Zbl 1437.35020
Del Pino, Manuel; Jerrard, Robert L.; Musso, Monica
2020
Long-time asymptotics for evolutionary crystal dislocation models. Zbl 1446.35198
Cozzi, Matteo; Dávila, Juan; del Pino, Manuel
2020
Sign-changing blowing-up solutions for the critical nonlinear heat equation. Zbl 1469.35054
del Pino, Manuel; Musso, Monica; Wei, Juncheng; Zheng, Youquan
2020
Type II blow-up in the 5-dimensional energy critical heat equation. Zbl 1417.35074
del Pino, Manuel; Musso, Monica; Wei, Jun Cheng
2019
Interior bubbling solutions for the critical Lin-Ni-Takagi problem in dimension 3. Zbl 1420.35104
del Pino, Manuel; Musso, Monica; Román, Carlos; Wei, Juncheng
2019
Blow-up for the 3-dimensional axially symmetric harmonic map flow into $$S^2$$. Zbl 1425.35107
Dávila, Juan; Del Pino, Manuel; Pesce, Catalina; Wei, Juncheng
2019
Nonlocal $$s$$-minimal surfaces and Lawson cones. Zbl 1394.53012
Dávila, Juan; del Pino, Manuel; Wei, Juncheng
2018
Type II ancient compact solutions to the Yamabe flow. Zbl 1472.53102
Daskalopoulos, Panagiota; del Pino, Manuel; Sesum, Natasa
2018
Ancient shrinking spherical interfaces in the Allen-Cahn flow. Zbl 1421.35195
del Pino, Manuel; Gkikas, Konstantinos T.
2018
Ancient multiple-layer solutions to the Allen-Cahn equation. Zbl 1404.35247
del Pino, Manuel; Gkikas, Konstantinos T.
2018
Delaunay-type singular solutions for the fractional Yamabe problem. Zbl 1378.35321
DelaTorre, Azahara; del&nbsp;Pino, Manuel; González, María del Mar; Wei, Juncheng
2017
Finite topology self-translating surfaces for the mean curvature flow in $$\mathbb{R}^3$$. Zbl 1377.53011
Dávila, Juan; del Pino, Manuel; Nguyen, Xuan Hien
2017
New type I ancient compact solutions of the Yamabe flow. Zbl 1393.53058
Daskalopoulos, Panagiota; del Pino, Manuel; King, John; Sesum, Natasa
2017
Bubbling blow-up in critical parabolic problems. Zbl 06842160
del Pino, Manuel
2017
Large mass boundary condensation patterns in the stationary Keller-Segel system. Zbl 1345.35039
del Pino, Manuel; Pistoia, Angela; Vaira, Giusi
2016
Nonlocal Delaunay surfaces. Zbl 1341.53006
Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico
2016
Type I ancient compact solutions of the Yamabe flow. Zbl 1338.53018
Daskalopoulos, Panagiota; del Pino, Manuel; King, John; Sesum, Natasa
2016
Higher-dimensional catenoid, Liouville equation, and Allen-Cahn equation. Zbl 1404.35197
Agudelo, Oscar; del Pino, Manuel; Wei, Juncheng
2016
Solutions of the fractional Allen-Cahn equation which are invariant under screw motion. Zbl 1348.35293
Cinti, Eleonora; Davila, Juan; Del Pino, Manuel
2016
An introduction to the finite and infinite dimensional reduction methods. Zbl 1343.35004
del Pino, Manuel; Wei, Juncheng
2016
Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum. Zbl 1366.35215
Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico
2015
Intermediate reduction method and infinitely many positive solutions of nonlinear Schrödinger equations with non-symmetric potentials. Zbl 1319.35249
del Pino, Manuel; Wei, Juncheng; Yao, Wei
2015
Nontopological condensates for the self-dual Chern-Simons-Higgs model. Zbl 1406.35312
Del Pino, Manuel; Esposito, Pierpaolo; Figueroa, Pablo; Musso, Monica
2015
Serrin’s overdetermined problem and constant mean curvature surfaces. Zbl 1342.35188
Del Pino, Manuel; Pacard, Frank; Wei, Juncheng
2015
Large conformal metrics with prescribed sign-changing Gauss curvature. Zbl 1329.53057
del Pino, Manuel; Román, Carlos
2015
Solutions with multiple catenoidal ends to the Allen-Cahn equation in $$\mathbb{R}^3$$. Zbl 1305.35079
Agudelo, Oscar; del Pino, Manuel; Wei, Juncheng
2015
Concentrating standing waves for the fractional nonlinear Schrödinger equation. Zbl 1322.35162
Dávila, Juan; Del Pino, Manuel; Wei, Juncheng
2014
Bubbling on boundary submanifolds for the Lin-Ni-Takagi problem at higher critical exponents. Zbl 1310.35136
del Pino, Manuel; Mahmoudi, Fethi; Musso, Monica
2014
Nondegeneracy of the bubble in the critical case for nonlocal equations. Zbl 1275.35028
Dávila, Juan; Del Pino, Manuel; Sire, Yannick
2013
Torus action on $$S^n$$ and sign changing solutions for conformally invariant equations. Zbl 1267.53040
Del Pino, Manuel; Musso, Monica; Pacard, Frank; Pistoia, Angela
2013
Entire solutions of the Allen-Cahn equation and complete embedded minimal surfaces of finite total curvature in $$\mathbb{R}^3$$. Zbl 1275.53015
del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng
2013
Traveling waves with multiple and nonconvex fronts for a bistable semilinear parabolic equation. Zbl 1307.35149
Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
2013
Moduli space theory for the Allen-Cahn equation in the plane. Zbl 1286.35018
Del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank
2013
Non-uniqueness of positive ground states of non-linear Schrödinger equations. Zbl 1285.35108
Dávila, Juan; Del Pino, Manuel; Guerra, Ignacio
2013
The Euclidean Onofri inequality in higher dimensions. Zbl 1316.26025
del Pino, Manuel; Dolbeault, Jean
2013
Nondegeneracy of entire solutions of a singular Liouvillle equation. Zbl 1242.35117
del Pino, Manuel; Esposito, Pierpaolo; Musso, Monica
2012
Beyond the Trudinger-Moser supremum. Zbl 1246.46037
del Pino, Manuel; Musso, Monica; Ruf, Bernhard
2012
Solutions of the Allen-Cahn equation which are invariant under screw-motion. Zbl 1246.35093
del Pino, Manuel; Musso, Monica; Pacard, Frank
2012
On De Giorgi’s conjecture and beyond. Zbl 1309.35035
Del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng
2012
On De Giorgi’s conjecture in dimension $$N\geq 9$$. Zbl 1238.35019
Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
2011
Large energy entire solutions for the Yamabe equation. Zbl 1233.35008
del Pino, Manuel; Musso, Monica; Pacard, Frank; Pistoia, Angela
2011
Bistable boundary reactions in two dimensions. Zbl 1236.35074
Dávila, Juan; del Pino, Manuel; Musso, Monica
2011
Solutions to the Allen Cahn equation and minimal surfaces. Zbl 1272.35104
Del Pino, Manuel; Wei, Juncheng
2011
New entire solutions to some classical semilinear elliptic problems. Zbl 1229.35084
del Pino, Manuel
2011
Multiple-end solutions to the Allen-Cahn equation in $$\mathbb R^2$$. Zbl 1203.35108
del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank; Wei, Juncheng
2010
The Toda system and multiple-end solutions of autonomous planar elliptic problems. Zbl 1197.35114
del Pino, Manuel; Kowalczyk, Michał; Pacard, Frank; Wei, Juncheng
2010
New solutions for Trudinger-Moser critical equations in $$\mathbb R^2$$. Zbl 1191.35138
del Pino, Manuel; Musso, Monica; Ruf, Bernhard
2010
Two-dimensional Euler flows with concentrated vorticities. Zbl 1205.35217
Del Pino, Manuel; Esposito, Pierpaolo; Musso, Monica
2010
Bubbling along boundary geodesics near the second critical exponent. Zbl 1204.35090
del Pino, Manuel; Musso, Monica; Pacard, Frank
2010
Interface foliation near minimal submanifolds in Riemannian manifolds with positive Ricci curvature. Zbl 1213.35219
del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng; Yang, Jun
2010
A logarithmic Hardy inequality. Zbl 1209.26020
del Pino, Manuel; Dolbeault, Jean; Filippas, Stathis; Tertikas, Achilles
2010
The Jacobi-Toda system and foliated interfaces. Zbl 1193.35057
del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng
2010
On a conjecture by De Giorgi in dimensions 9 and higher. Zbl 1231.35024
Del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng
2010
Relative equilibria in continuous stellar dynamics. Zbl 1203.35280
Campos, Juan; del Pino, Manuel; Dolbeault, Jean
2010
Entire solutions of the Allen-Cahn equation and complete embedded minimal surfaces. Zbl 1196.53012
del Pino, Manuel; Kowalczyk, Michal; Wei, Juncheng
2009
Fast and slow decay solutions for supercritical elliptic problems in exterior domains. Zbl 1147.35030
Dávila, Juan; del Pino, Manuel; Musso, Monica; Wei, Juncheng
2008
The Toda system and clustering interfaces in the Allen-Cahn equation. Zbl 1163.35017
Del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
2008
A counterexample to a conjecture by De Giorgi in large dimensions. Zbl 1161.35023
del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
2008
Supercritical elliptic problems from a perturbation viewpoint. Zbl 1141.35366
del Pino, Manuel
2008
Renormalized energy of interacting Ginzburg-Landau vortex filaments. Zbl 1148.35027
del Pino, Manuel; Kowalczyk, Michal
2008
Concentration on curves for nonlinear Schrödinger equations. Zbl 1123.35003
Del Pino, Manuel; Kowalczyk, Michal; Wei, Jun-Cheng
2007
The supercritical Lane-Emden-Fowler equation in exterior domains. Zbl 1137.35023
Dávila, Juan; del Pino, Manuel; Musso, Monica
2007
Supercritical elliptic problems in domains with small holes. (Problèmes elliptiques supercritiques dans des domaines avec de petits trous.) Zbl 1387.35291
del Pino, Manuel; Wei, Juncheng
2007
Standing waves for supercritical nonlinear Schrödinger equations. Zbl 1124.35082
Dávila, Juan; del Pino, Manuel; Musso, Monica; Wei, Juncheng
2007
Ground states of a prescribed mean curvature equation. Zbl 1187.35117
del Pino, Manuel; Guerra, Ignacio
2007
Boundary singularities for weak solutions of semilinear elliptic problems. Zbl 1137.35038
del Pino, Manuel; Musso, Monica; Pacard, Frank
2007
Resonance and interior layers in an inhomogeneous phase transition model. Zbl 1229.35076
del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
2007
Type II collapsing of maximal solutions to the Ricci flow in $$\mathbb R^2$$. Zbl 1152.35412
2007
Collapsing steady states of the Keller-Segel system. Zbl 1137.35007
del Pino, Manuel; Wei, Juncheng
2006
Variational reduction for Ginzburg-Landau vortices. Zbl 1387.35561
del Pino, Manuel; Kowalczyk, Michał; Musso, Monica
2006
The two-dimensional Lazer-McKenna conjecture for an exponential nonlinearity. Zbl 1159.35372
del Pino, Manuel; Muñoz, Claudio
2006
Singular limits of a two-dimensional boundary value problem arising in corrosion modelling. Zbl 1142.35611
Dávila, Juan; del Pino, Manuel; Musso, Monica; Wei, Juncheng
2006
Nodal bubble-tower solutions to radial elliptic problems near criticality. Zbl 1387.35212
Contreras, Andrés; del Pino, Manuel
2006
Bubbling in nonlinear elliptic problems near criticality. Zbl 1387.35266
del Pino, Manuel; Musso, Monica
2006
Multiple bubbling for the exponential nonlinearity in the slightly supercritical case. Zbl 1140.35339
del Pino, Manuel; Dolbeault, Jean; Musso, Monica
2006
Singular limits in Liouville-type equations. Zbl 1088.35067
del Pino, Manuel; Kowalczyk, Michal; Musso, Monica
2005
Super-critical boundary bubbling in a semilinear Neumann problem. Zbl 1130.35064
del Pino, Manuel; Musso, Monica; Pistoia, Angela
2005
Concentrating solutions in a two-dimensional elliptic problem with exponential Neumann data. Zbl 1207.35158
DÁvila, Juan; del Pino, Manuel; Musso, Monica
2005
Nonlinear Schrödinger equations: concentration on weighted geodesics in the semi-classical limit. Zbl 1076.35041
del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
2005
Bubbling and criticality in two and higher dimensions. Zbl 1154.35053
del Pino, Manuel; Musso, Monica
2005
The Brezis-Nirenberg problem near criticality in dimension 3. Zbl 1130.35040
del Pino, Manuel; Dolbeault, Jean; Musso, Monica
2004
Nonlinear diffusions, hypercontractivity and the optimal $$L^{p}$$-Euclidean logarithmic Sobolev inequality. Zbl 1058.35124
Del Pino, Manuel; Dolbeault, Jean; Gentil, Ivan
2004
Minimality and nondegeneracy of degree-one Ginzburg-Landau vortex as a Hardy’s type inequality. Zbl 1112.35055
Del Pino, Manuel; Felmer, Patricio; Kowalczyk, Michał
2004
Multiple solutions for a non-homogeneous elliptic equation at the critical exponent. Zbl 1067.35007
Clapp, Mónica; del Pino, Manuel; Musso, Monica
2004
A phase plane analysis of the “multi-bubbling” phenomenon in some slightly supercritical equations. Zbl 1136.35376
del Pino, Manuel; Dolbeault, Jean; Musso, Monica
2004
Duality in sub-supercritical bubbling in the Brezis-Nirenberg problem near the critical exponent. Zbl 1137.35022
del Pino, Manuel; Dolbeault, Jean; Musso, Monica
2004
Two-bubble solutions in the super-critical Bahri-Coron’s problem. Zbl 1142.35421
del Pino, Manuel; Felmer, Patricio; Musso, Monica
2003
The optimal Euclidean $$L^{p}$$-Sobolev logarithmic inequality. Zbl 1091.35029
Del Pino, Manuel; Dolbeault, Jean
2003
“Bubble-tower” radial solutions in the slightly supercritical Brezis-Nirenberg problem. Zbl 1140.35413
Del Pino, Manuel; Dolbeault, Jean; Musso, Monica
2003
Multi-bubble solutions for slightly super-critical elliptic problems in domains with symmetries. Zbl 1109.35334
Del Pino, Manuel; Felmer, Patricio; Musso, Monica
2003
Multi-bump ground states of the Gierer-Meinhardt system in $$\mathbb R^2$$. (Fondamentales multi-pics du système de Gierer-Meinhardt dans $$\mathbb R^2$$.) Zbl 1114.35065
del Pino, Manuel; Kowalczyk, Michał; Wei, Juncheng
2003
Multiple boundary blow-up solutions for nonlinear elliptic equations. Zbl 1030.35049
Aftalion, Amandine; del Pino, Manuel; Letelier, René
2003
Asymptotic behavior of nonlinear diffusions. Zbl 1045.35009
Del Pino, Manuel; Dolbeault, Jean
2003
...and 57 more Documents
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### Cited by 2,081 Authors

 167 Wei, Juncheng 76 Del Pino, Manuel A. 70 Musso, Monica 61 Pistoia, Angela 43 Alves, Claudianor Oliveira 38 Dolbeault, Jean 31 Ambrosio, Vincenzo 29 Figueiredo, Giovany Malcher 29 Kowalczyk, Michał 26 Dávila, Juan 24 Ao, Weiwei 24 Yan, Shusen 23 D’Aprile, Teresa 23 Rossi, Julio Daniel 22 Ding, Yanheng 22 Ma, Ruyun 22 Zou, Wenming 21 Grossi, Massimo 21 Malchiodi, Andrea 21 Yang, Minbo 21 Yang, Xiaojing 20 Guo, Zongming 20 Papageorgiou, Nikolaos S. 20 Peng, Shuangjie 19 Felmer, Patricio L. 19 García-Melián, Jorge 19 Guo, Yuxia 19 Tang, Zhongwei 19 Vazquez, Juan Luis 18 Byeon, Jaeyoung 18 Gui, Changfeng 18 Liu, Yong 18 Tang, Xianhua 18 Zhang, Jihui 17 Do Ó, João M. Bezerra 17 Ge, Weigao 17 Valdinoci, Enrico 17 Zhang, Jianjun 16 Bartolucci, Daniele 16 Bonheure, Denis 16 Clapp, Mónica 16 Deng, Shengbing 16 Ji, Chao 16 Lin, Chang-Shou 15 Dai, Guowei 15 Sire, Yannick 15 Van Schaftingen, Jean 15 Wang, Chunhua 15 Wu, Tsungfang 14 Bartsch, Thomas J. 14 Cao, Daomin 14 Drábek, Pavel 14 Mahmoudi, Fethi 14 Miyagaki, Olimpio Hiroshi 14 O’Regan, Donal 14 Pacard, Frank 14 Rădulescu, Vicenţiu D. 13 Agarwal, Ravi P. 13 Chu, Jifeng 13 Esteban, Maria J. 13 Lee, Youngae 13 Liang, Sihua 13 Tanaka, Kazunaga 13 Wang, Liping 13 Weth, Tobias 13 Yang, Zuodong 12 Bonforte, Matteo 12 Cingolani, Silvia 12 Dipierro, Serena 12 Esposito, Pierpaolo 12 Hui, Kin Ming 12 Li, Gongbao 12 Quaas, Alexander 12 Wang, Jun 12 Wang, Kelei 12 Yang, Wen 12 Zhang, Fubao 11 Fernández Bonder, Julián 11 Grillo, Gabriele 11 He, Xiaoming 11 Hsu, Shu-Yu 11 Kim, Seunghyeok 11 Zanolin, Fabio 10 Baraket, Sami 10 Franca, Matteo 10 He, Yi 10 Liu, Weiming 10 Liu, Wenbin 10 Manasevich, Raul F. 10 da Silva Montenegro, Marcelo 10 Poláčik, Peter 10 Sabina-de-Lis, José Claudio 10 Sourdis, Christos 10 Teng, Kaimin 10 Vaira, Giusi 10 Wang, Zhi-Qiang 10 Winter, Matthias 10 Yang, Haitao 9 Almog, Yaniv 9 Cheng, Zhibo ...and 1,981 more Authors
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### Cited in 268 Serials

 268 Journal of Differential Equations 234 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 192 Journal of Mathematical Analysis and Applications 159 Calculus of Variations and Partial Differential Equations 93 Journal of Functional Analysis 76 Discrete and Continuous Dynamical Systems 67 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 54 Communications on Pure and Applied Analysis 52 Journal of Mathematical Physics 50 Communications in Partial Differential Equations 49 Boundary Value Problems 45 Archive for Rational Mechanics and Analysis 42 Annali di Matematica Pura ed Applicata. Serie Quarta 40 Transactions of the American Mathematical Society 40 Advanced Nonlinear Studies 36 Communications in Contemporary Mathematics 35 Proceedings of the American Mathematical Society 34 Journal de Mathématiques Pures et Appliquées. Neuvième Série 32 Applied Mathematics Letters 31 Applied Mathematics and Computation 29 ZAMP. Zeitschrift für angewandte Mathematik und Physik 28 Computers & Mathematics with Applications 28 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 26 Comptes Rendus. Mathématique. Académie des Sciences, Paris 25 Applicable Analysis 25 NoDEA. Nonlinear Differential Equations and Applications 25 Complex Variables and Elliptic Equations 25 Advances in Nonlinear Analysis 23 Advances in Mathematics 23 Mathematische Annalen 20 Mathematical Methods in the Applied Sciences 20 Manuscripta Mathematica 19 The Journal of Geometric Analysis 16 Abstract and Applied Analysis 16 Journal of Fixed Point Theory and Applications 16 Nonlinear Analysis. Theory, Methods & Applications 15 Communications in Mathematical Physics 15 Journal d’Analyse Mathématique 15 Science China. Mathematics 13 Revista Matemática Iberoamericana 13 Journal of the European Mathematical Society (JEMS) 13 Nonlinear Analysis. Real World Applications 12 Journal of Computational and Applied Mathematics 12 Acta Mathematica Sinica. English Series 11 Nonlinearity 11 Journal of Dynamics and Differential Equations 11 Milan Journal of Mathematics 11 Discrete and Continuous Dynamical Systems. Series S 10 Communications on Pure and Applied Mathematics 10 Rocky Mountain Journal of Mathematics 10 Acta Applicandae Mathematicae 10 Physica D 9 Duke Mathematical Journal 9 Mathematical and Computer Modelling 9 Asymptotic Analysis 9 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 9 Advances in Difference Equations 9 Journal of Function Spaces 9 Séminaire Laurent Schwartz. EDP et Applications 9 Journal of Elliptic and Parabolic Equations 8 Journal für die Reine und Angewandte Mathematik 8 Mathematische Nachrichten 8 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 8 Topological Methods in Nonlinear Analysis 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Reviews in Mathematical Physics 7 Potential Analysis 7 Advances in Differential Equations 7 Journal of Evolution Equations 7 Journal of Applied Mathematics and Computing 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 6 Inventiones Mathematicae 6 Mathematische Zeitschrift 6 Proceedings of the London Mathematical Society. Third Series 6 Chinese Annals of Mathematics. Series B 6 SIAM Journal on Mathematical Analysis 6 Applied Mathematics. Series B (English Edition) 6 Bulletin des Sciences Mathématiques 6 Journal of Applied Mathematics 6 Mediterranean Journal of Mathematics 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 6 SN Partial Differential Equations and Applications 5 Journal of the London Mathematical Society. Second Series 5 Monatshefte für Mathematik 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Results in Mathematics 5 Geometric and Functional Analysis. GAFA 5 Annales Academiae Scientiarum Fennicae. Mathematica 5 Kinetic and Related Models 5 Electronic Research Archive 4 Mathematical Notes 4 Chaos, Solitons and Fractals 4 The Annals of Probability 4 Czechoslovak Mathematical Journal 4 Memoirs of the American Mathematical Society 4 Zeitschrift für Analysis und ihre Anwendungen 4 Acta Mathematicae Applicatae Sinica. English Series 4 Electronic Journal of Differential Equations (EJDE) 4 Journal of Inequalities and Applications 4 Annales Henri Poincaré ...and 168 more Serials
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### Cited in 45 Fields

 2,180 Partial differential equations (35-XX) 454 Ordinary differential equations (34-XX) 261 Global analysis, analysis on manifolds (58-XX) 251 Operator theory (47-XX) 162 Differential geometry (53-XX) 127 Calculus of variations and optimal control; optimization (49-XX) 105 Functional analysis (46-XX) 97 Real functions (26-XX) 77 Quantum theory (81-XX) 74 Fluid mechanics (76-XX) 67 Biology and other natural sciences (92-XX) 62 Dynamical systems and ergodic theory (37-XX) 62 Statistical mechanics, structure of matter (82-XX) 35 Numerical analysis (65-XX) 23 Integral equations (45-XX) 23 Optics, electromagnetic theory (78-XX) 21 Mechanics of deformable solids (74-XX) 19 Difference and functional equations (39-XX) 18 Potential theory (31-XX) 14 Probability theory and stochastic processes (60-XX) 14 Mechanics of particles and systems (70-XX) 9 Information and communication theory, circuits (94-XX) 8 Special functions (33-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Algebraic topology (55-XX) 7 Functions of a complex variable (30-XX) 7 Statistics (62-XX) 6 Convex and discrete geometry (52-XX) 5 Relativity and gravitational theory (83-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Systems theory; control (93-XX) 3 Measure and integration (28-XX) 3 Several complex variables and analytic spaces (32-XX) 2 General and overarching topics; collections (00-XX) 2 Approximations and expansions (41-XX) 2 Manifolds and cell complexes (57-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Operations research, mathematical programming (90-XX)