Edit Profile (opens in new tab) Dávila, Juan Co-Author Distance Author ID: davila.juan Published as: Dávila, Juan; Dávila, J.; Davila, Juan; Dávila, Juan Diego; DÁvila, Juan; Davila, J. more...less Homepage: http://capde.cl/juan-davila/ External Links: MGP · ORCID · dblp Documents Indexed: 88 Publications since 1997, including 6 Additional arXiv Preprints Co-Authors: 54 Co-Authors with 82 Joint Publications 1,480 Co-Co-Authors all top 5 Co-Authors 6 single-authored 31 Del Pino, Manuel A. 17 Wei, Juncheng 16 Musso, Monica 12 da Silva Montenegro, Marcelo 11 Dupaigne, Louis 8 Guerra, Ignacio A. 5 Martínez, Salomé 4 Coville, Jerome 3 Flores, Isabel 3 Parmeshwar, Shrish 3 Sire, Yannick 2 Castro, Hernán 2 Chen, Wenjing 2 Dipierro, Serena 2 Goubet, Olivier 2 Kowalczyk, Michał 2 Mahmoudi, Fethi 2 Medina, Maria 2 Ponce, Augusto C. 2 Rodiac, Rémy 2 Rossi, Julio Daniel 2 Valdinoci, Enrico 2 Wang, Hui 2 Wang, Kelei 1 Abdellaoui, Boumediene 1 Ao, Weiwei 1 Biroud, Kheireddine 1 Buseghin, Federico 1 Capella, Antonio 1 Chipot, Michel 1 Cinti, Eleonora 1 Clerc, Marcel G. 1 Conca, Carlos 1 Cosner, Chris 1 Cozzi, Matteo 1 Dolbeault, Jean 1 Farina, Alberto 1 Faya, Jorge 1 Fernández Bonder, Julián 1 Groisman, Pablo 1 Ignat, Radu 1 Lopez, Luis Fernandez 1 Nguyen, Xuan Hien 1 Peral Alonso, Ireneo 1 Pesce, Catalina 1 Pistoia, Angela 1 Ríos, Luis López 1 Smyrnelis, Panayotis 1 Sued, Mariela 1 Topp, Erwin 1 Vaira, Giusi 1 Vidal-Henriquez, Estefania 1 Wheeler, Miles H. 1 Ye, Dong all top 5 Serials 8 Journal of Differential Equations 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Calculus of Variations and Partial Differential Equations 4 Archive for Rational Mechanics and Analysis 4 Journal of Functional Analysis 3 Journal d’Analyse Mathématique 3 Advances in Mathematics 3 Transactions of the American Mathematical Society 3 Communications in Partial Differential Equations 3 Journal of the European Mathematical Society (JEMS) 3 Communications in Contemporary Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Mathematical Analysis and Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Mathematical Analysis 2 Discrete and Continuous Dynamical Systems 1 Communications on Pure and Applied Mathematics 1 Inventiones Mathematicae 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Stochastic Analysis and Applications 1 Revista Matemática Iberoamericana 1 Asymptotic Analysis 1 Differential and Integral Equations 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 Communications on Pure and Applied Analysis 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of Biological Dynamics 1 Journal of Fixed Point Theory and Applications 1 Analysis & PDE 1 Revista Integración all top 5 Fields 70 Partial differential equations (35-XX) 8 Real functions (26-XX) 7 Fluid mechanics (76-XX) 5 Operator theory (47-XX) 4 Ordinary differential equations (34-XX) 4 Integral equations (45-XX) 4 Functional analysis (46-XX) 4 Differential geometry (53-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Biology and other natural sciences (92-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of deformable solids (74-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 77 Publications have been cited 2,026 times in 1,559 Documents Cited by ▼ Year ▼ Regularity of radial extremal solutions for some non-local semilinear equations. Zbl 1231.35076 Capella, Antonio; Dávila, Juan; Dupaigne, Louis; Sire, Yannick 189 2011 Concentrating standing waves for the fractional nonlinear Schrödinger equation. Zbl 1322.35162 Dávila, Juan; Del Pino, Manuel; Wei, Juncheng 186 2014 On an open question about functions of bounded variation. Zbl 1047.46025 Dávila, J. 132 2002 Nonlocal anisotropic dispersal with monostable nonlinearity. Zbl 1148.45011 Coville, Jérôme; Dávila, Juan; Martínez, Salomé 110 2008 Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum. Zbl 1366.35215 Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico 99 2015 Pulsating fronts for nonlocal dispersion and KPP nonlinearity. Zbl 1288.45007 Coville, Jérôme; Dávila, Juan; Martínez, Salomé 96 2013 Existence and uniqueness of solutions to a nonlocal equation with monostable nonlinearity. Zbl 1161.45003 Coville, Jérôme; Dávila, Juan; Martínez, Salomé 68 2008 A monotonicity formula and a Liouville-type theorem for a fourth order supercritical problem. Zbl 1317.35054 Dávila, Juan; Dupaigne, Louis; Wang, Kelei; Wei, Juncheng 67 2014 Nondegeneracy of the bubble in the critical case for nonlocal equations. Zbl 1275.35028 Dávila, Juan; Del Pino, Manuel; Sire, Yannick 56 2013 On the fractional Lane-Emden equation. Zbl 1515.35311 Dávila, Juan; Dupaigne, Louis; Wei, Juncheng 45 2017 Singularity formation for the two-dimensional harmonic map flow into \(S^2\). Zbl 1445.35082 Dávila, Juan; del Pino, Manuel; Wei, Juncheng 42 2020 Gluing methods for vortex dynamics in Euler flows. Zbl 1439.35382 Davila, Juan; Del Pino, Manuel; Musso, Monica; Wei, Juncheng 41 2020 Positive versus free boundary solutions to a singular elliptic equation. Zbl 1173.35743 Dávila, Juan; Montenegro, Marcelo 40 2003 Stable solutions for the bilaplacian with exponential nonlinearity. Zbl 1138.35022 Dávila, Juan; Dupaigne, Louis; Guerra, Ignacio; Montenegro, Marcelo 39 2007 Nonlocal \(s\)-minimal surfaces and Lawson cones. Zbl 1394.53012 Dávila, Juan; del Pino, Manuel; Wei, Juncheng 38 2018 Partial regularity of finite Morse index solutions to the Lane-Emden equation. Zbl 1215.35076 Dávila, Juan; Dupaigne, Louis; Farina, Alberto 37 2011 The extremal solution of a boundary reaction problem. Zbl 1156.35039 Dávila, Juan; Dupaigne, Louis; Montenegro, Marcelo 37 2008 Hardy-type inequalities. Zbl 1083.26012 Dávila, J.; Dupaigne, L. 35 2004 Multiplicity of solutions for a fourth order equation with power-type nonlinearity. Zbl 1220.35047 Dávila, Juan; Flores, Isabel; Guerra, Ignacio 35 2010 Fast and slow decay solutions for supercritical elliptic problems in exterior domains. Zbl 1147.35030 Dávila, Juan; del Pino, Manuel; Musso, Monica; Wei, Juncheng 35 2008 The supercritical Lane-Emden-Fowler equation in exterior domains. Zbl 1137.35023 Dávila, Juan; del Pino, Manuel; Musso, Monica 31 2007 Evolutionary stability of ideal free nonlocal dispersal. Zbl 1447.92275 Cosner, Chris; Dávila, Juan; Martínez, Salomé 31 2012 Lifting of BV functions with values in \(S^1\). Zbl 1046.46026 Dávila, Juan; Ignat, Radu 25 2003 Non-uniqueness of positive ground states of non-linear Schrödinger equations. Zbl 1285.35108 Dávila, Juan; Del Pino, Manuel; Guerra, Ignacio 25 2013 Existence and asymptotic behavior for a singular parabolic equation. Zbl 1074.35020 Dávila, Juan; Montenegro, Marcelo 25 2005 Comparison results for PDEs with a singular potential. Zbl 1040.35006 Dávila, Juan; Dupaigne, Louis 23 2003 Standing waves for supercritical nonlinear Schrödinger equations. Zbl 1124.35082 Dávila, Juan; del Pino, Manuel; Musso, Monica; Wei, Juncheng 23 2007 Nonlocal Delaunay surfaces. Zbl 1341.53006 Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico 22 2016 Concentrating solutions in a two-dimensional elliptic problem with exponential Neumann data. Zbl 1207.35158 DÁvila, Juan; del Pino, Manuel; Musso, Monica 21 2005 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 21 2021 Perturbing singular solutions of the Gelfand problem. Zbl 1154.35047 Dávila, J.; Dupaigne, L. 20 2007 Nonlinear elliptic problems with a singular weight on the boundary. Zbl 1232.35048 Dávila, Juan; Peral, Ireneo 19 2011 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 17 2017 Bubbling solutions for nonlocal elliptic problems. Zbl 1371.35066 Dávila, Juan; Ríos, Luis López; Sire, Yannick 15 2017 A strong maximum principle for the Laplace equation with mixed boundary condition. Zbl 0979.35037 Dávila, Juan 15 2001 Singular solutions of semi-linear elliptic problems. Zbl 1191.35131 Dávila, J. 14 2008 Multiplicity of solutions for a fourth order problem with exponential nonlinearity. Zbl 1190.34017 Dávila, Juan; Flores, Isabel; Guerra, Ignacio 13 2009 Point ruptures for a MEMS equation with fringing field. Zbl 1260.35047 Dávila, Juan; Wei, Juncheng 13 2012 Solutions of the fractional Allen-Cahn equation which are invariant under screw motion. Zbl 1348.35293 Cinti, Eleonora; Davila, Juan; Del Pino, Manuel 12 2016 Travelling helices and the vortex filament conjecture in the incompressible Euler equations. Zbl 1490.35262 Dávila, Juan; Pino, Manuel del; Musso, Monica; Wei, Juncheng 12 2022 Concentration for an elliptic equation with singular nonlinearity. Zbl 1246.35085 Dávila, Juan; Montenegro, Marcelo 12 2012 Bubbling solutions for supercritical problems on manifolds. Zbl 1347.58004 Dávila, Juan; Pistoia, Angela; Vaira, Giusi 11 2015 New type of solutions to a slightly subcritical Hénon type problem on general domains. Zbl 1380.35089 Dávila, Juan; Faya, Jorge; Mahmoudi, Fethi 11 2017 Qualitative analysis of rupture solutions for a MEMS problem. Zbl 1350.35093 Dávila, Juan; Wang, Kelei; Wei, Juncheng 10 2016 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 9 2006 Bistable boundary reactions in two dimensions. Zbl 1236.35074 Dávila, Juan; del Pino, Manuel; Musso, Monica 9 2011 Numerical analysis of stochastic differential equations with explosions. Zbl 1080.65004 Dávila, Juan; Fernández Bonder, Julian; Rossi, Julio D.; Groisman, Pablo; Sued, Mariela 9 2005 On finite Morse index solutions of two equations with negative exponent. Zbl 1293.35099 Dávila, Juan; Ye, Dong 9 2013 Global regularity for a singular equation and local \(H^ 1\) minimizers of a nondifferentiable functional. Zbl 1048.35022 Dávila, Juan 8 2004 Critical points of the regular part of the harmonic Green function with Robin boundary condition. Zbl 1159.35020 Dávila, Juan; Kowalczyk, Michał; Montenegro, Marcelo 8 2008 Boundary blow-up solutions of cooperative systems. Zbl 1175.35045 Dávila, Juan; Dupaigne, Louis; Goubet, Olivier; Martínez, Salomé 8 2009 Theory of light-matter interaction in nematic liquid crystals and the second Painlevé equation. Zbl 1376.35022 Clerc, Marcel G.; Dávila, Juan Diego; Kowalczyk, Michał; Smyrnelis, Panayotis; Vidal-Henriquez, Estefania 8 2017 Variants of Kato’s inequality and removable singularities. Zbl 1053.35031 Dávila, Juan; Ponce, Augusto C. 7 2003 Long-time asymptotics for evolutionary crystal dislocation models. Zbl 1446.35198 Cozzi, Matteo; Dávila, Juan; del Pino, Manuel 7 2020 Radial solutions of an elliptic equation with singular nonlinearity. Zbl 1163.35016 Dávila, Juan; Montenegro, Marcelo 6 2009 Bubble tower solutions for supercritical elliptic problem in \(\mathbb{R}^N\). Zbl 1358.35039 Chen, Wenjing; Dávila, Juan; Guerra, Ignacio 6 2016 A nonlinear elliptic equation with rapidly oscillating boundary conditions. Zbl 1007.35026 Dávila, Juan 6 2001 Partial regularity for a Liouville system. Zbl 1284.35098 Dávila, Juan; Goubet, Olivier 6 2014 Slowly decaying radial solutions of an elliptic equation with subcritical and supercritical exponents. Zbl 1355.35074 Dávila, Juan; Guerra, Ignacio 5 2016 Hausdorff dimension of rupture sets and removable singularities. Zbl 1135.35033 Dávila, Juan; Ponce, Augusto C. 5 2008 Nonlinear elliptic problem related to the Hardy inequality with singular term at the boundary. Zbl 1316.35129 Abdellaoui, B.; Biroud, K.; Davila, J.; Mahmoudi, F. 4 2015 Concentrating solutions of the Liouville equation with Robin boundary condition. Zbl 1236.35046 Dávila, Juan; Topp, Erwin 4 2012 Interacting helical vortex filaments in the three-dimensional Ginzburg-Landau equation. Zbl 1509.35291 Dávila, Juan; Del Pino, Manuel; Medina, Maria; Rodiac, Rémy 4 2022 Nonlinear problems with solutions exhibiting a free boundary on the boundary. Zbl 1083.35139 Dávila, Juan; Montenegro, Marcelo 4 2005 On the behavior of positive solutions of semilinear elliptic equations in asymptotically cylindrical domains. Zbl 1366.35024 Chipot, Michel; Dávila, Juan; del Pino, Manuel 4 2017 A singular equation with positive and free boundary solutions. Zbl 1229.35091 Dávila, Juan; Montenegro, Marcelo 3 2003 Resonance phenomenon for a Gelfand-type problem. Zbl 1301.34031 Chen, Wenjing; Dávila, Juan 3 2013 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 3 2019 Self-similar solutions of the porous medium equation in a half-space with a nonlinear boundary condition: existence and symmetry. Zbl 1113.35077 Dávila, Juan; Rossi, Julio D. 2 2004 Some extremal singular solutions of a nonlinear elliptic equation. Zbl 1059.35039 Dávila, Juan 2 2001 A Hardy type inequality for \(W_0^{2,1}(\Omega)\) functions. Zbl 1253.26028 Castro, Hernán; Dávila, Juan; Wang, Hui 2 2011 A Hardy type inequality for \(W^{m,1}_0(\Omega)\) functions. Zbl 1273.26030 Castro, Hernán; Dávila, Juan; Wang, Hui 2 2013 Hölder estimates for solutions to a singular nonlinear Neumann problem. Zbl 1121.35062 Dávila, Juan; Montenegro, Marcelo 1 2005 Existence and stability of infinite time blow-up in the Keller-Segel system. Zbl 07892812 Dávila, Juan; del Pino, Manuel; Dolbeault, Jean; Musso, Monica; Wei, Juncheng 1 2024 Remarks on positive and free boundary solutions to a singular equation. Zbl 1292.35108 Dávila, Juan; Montenegro, Marcelo 1 2010 Regular solutions to a supercritical elliptic problem in exterior domains. Zbl 1290.35114 Dávila, Juan; López, Luis F. 1 2013 Interacting helical traveling waves for the Gross-Pitaevskii equation. Zbl 1510.35295 Dávila, Juan; Del Pino, Manuel; Medina, Maria; Rodiac, Rémy 1 2022 Existence and stability of infinite time blow-up in the Keller-Segel system. Zbl 07892812 Dávila, Juan; del Pino, Manuel; Dolbeault, Jean; Musso, Monica; Wei, Juncheng 1 2024 Travelling helices and the vortex filament conjecture in the incompressible Euler equations. Zbl 1490.35262 Dávila, Juan; Pino, Manuel del; Musso, Monica; Wei, Juncheng 12 2022 Interacting helical vortex filaments in the three-dimensional Ginzburg-Landau equation. Zbl 1509.35291 Dávila, Juan; Del Pino, Manuel; Medina, Maria; Rodiac, Rémy 4 2022 Interacting helical traveling waves for the Gross-Pitaevskii equation. Zbl 1510.35295 Dávila, Juan; Del Pino, Manuel; Medina, Maria; Rodiac, Rémy 1 2022 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 21 2021 Singularity formation for the two-dimensional harmonic map flow into \(S^2\). Zbl 1445.35082 Dávila, Juan; del Pino, Manuel; Wei, Juncheng 42 2020 Gluing methods for vortex dynamics in Euler flows. Zbl 1439.35382 Davila, Juan; Del Pino, Manuel; Musso, Monica; Wei, Juncheng 41 2020 Long-time asymptotics for evolutionary crystal dislocation models. Zbl 1446.35198 Cozzi, Matteo; Dávila, Juan; del Pino, Manuel 7 2020 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 3 2019 Nonlocal \(s\)-minimal surfaces and Lawson cones. Zbl 1394.53012 Dávila, Juan; del Pino, Manuel; Wei, Juncheng 38 2018 On the fractional Lane-Emden equation. Zbl 1515.35311 Dávila, Juan; Dupaigne, Louis; Wei, Juncheng 45 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 17 2017 Bubbling solutions for nonlocal elliptic problems. Zbl 1371.35066 Dávila, Juan; Ríos, Luis López; Sire, Yannick 15 2017 New type of solutions to a slightly subcritical Hénon type problem on general domains. Zbl 1380.35089 Dávila, Juan; Faya, Jorge; Mahmoudi, Fethi 11 2017 Theory of light-matter interaction in nematic liquid crystals and the second Painlevé equation. Zbl 1376.35022 Clerc, Marcel G.; Dávila, Juan Diego; Kowalczyk, Michał; Smyrnelis, Panayotis; Vidal-Henriquez, Estefania 8 2017 On the behavior of positive solutions of semilinear elliptic equations in asymptotically cylindrical domains. Zbl 1366.35024 Chipot, Michel; Dávila, Juan; del Pino, Manuel 4 2017 Nonlocal Delaunay surfaces. Zbl 1341.53006 Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico 22 2016 Solutions of the fractional Allen-Cahn equation which are invariant under screw motion. Zbl 1348.35293 Cinti, Eleonora; Davila, Juan; Del Pino, Manuel 12 2016 Qualitative analysis of rupture solutions for a MEMS problem. Zbl 1350.35093 Dávila, Juan; Wang, Kelei; Wei, Juncheng 10 2016 Bubble tower solutions for supercritical elliptic problem in \(\mathbb{R}^N\). Zbl 1358.35039 Chen, Wenjing; Dávila, Juan; Guerra, Ignacio 6 2016 Slowly decaying radial solutions of an elliptic equation with subcritical and supercritical exponents. Zbl 1355.35074 Dávila, Juan; Guerra, Ignacio 5 2016 Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum. Zbl 1366.35215 Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico 99 2015 Bubbling solutions for supercritical problems on manifolds. Zbl 1347.58004 Dávila, Juan; Pistoia, Angela; Vaira, Giusi 11 2015 Nonlinear elliptic problem related to the Hardy inequality with singular term at the boundary. Zbl 1316.35129 Abdellaoui, B.; Biroud, K.; Davila, J.; Mahmoudi, F. 4 2015 Concentrating standing waves for the fractional nonlinear Schrödinger equation. Zbl 1322.35162 Dávila, Juan; Del Pino, Manuel; Wei, Juncheng 186 2014 A monotonicity formula and a Liouville-type theorem for a fourth order supercritical problem. Zbl 1317.35054 Dávila, Juan; Dupaigne, Louis; Wang, Kelei; Wei, Juncheng 67 2014 Partial regularity for a Liouville system. Zbl 1284.35098 Dávila, Juan; Goubet, Olivier 6 2014 Pulsating fronts for nonlocal dispersion and KPP nonlinearity. Zbl 1288.45007 Coville, Jérôme; Dávila, Juan; Martínez, Salomé 96 2013 Nondegeneracy of the bubble in the critical case for nonlocal equations. Zbl 1275.35028 Dávila, Juan; Del Pino, Manuel; Sire, Yannick 56 2013 Non-uniqueness of positive ground states of non-linear Schrödinger equations. Zbl 1285.35108 Dávila, Juan; Del Pino, Manuel; Guerra, Ignacio 25 2013 On finite Morse index solutions of two equations with negative exponent. Zbl 1293.35099 Dávila, Juan; Ye, Dong 9 2013 Resonance phenomenon for a Gelfand-type problem. Zbl 1301.34031 Chen, Wenjing; Dávila, Juan 3 2013 A Hardy type inequality for \(W^{m,1}_0(\Omega)\) functions. Zbl 1273.26030 Castro, Hernán; Dávila, Juan; Wang, Hui 2 2013 Regular solutions to a supercritical elliptic problem in exterior domains. Zbl 1290.35114 Dávila, Juan; López, Luis F. 1 2013 Evolutionary stability of ideal free nonlocal dispersal. Zbl 1447.92275 Cosner, Chris; Dávila, Juan; Martínez, Salomé 31 2012 Point ruptures for a MEMS equation with fringing field. Zbl 1260.35047 Dávila, Juan; Wei, Juncheng 13 2012 Concentration for an elliptic equation with singular nonlinearity. Zbl 1246.35085 Dávila, Juan; Montenegro, Marcelo 12 2012 Concentrating solutions of the Liouville equation with Robin boundary condition. Zbl 1236.35046 Dávila, Juan; Topp, Erwin 4 2012 Regularity of radial extremal solutions for some non-local semilinear equations. Zbl 1231.35076 Capella, Antonio; Dávila, Juan; Dupaigne, Louis; Sire, Yannick 189 2011 Partial regularity of finite Morse index solutions to the Lane-Emden equation. Zbl 1215.35076 Dávila, Juan; Dupaigne, Louis; Farina, Alberto 37 2011 Nonlinear elliptic problems with a singular weight on the boundary. Zbl 1232.35048 Dávila, Juan; Peral, Ireneo 19 2011 Bistable boundary reactions in two dimensions. Zbl 1236.35074 Dávila, Juan; del Pino, Manuel; Musso, Monica 9 2011 A Hardy type inequality for \(W_0^{2,1}(\Omega)\) functions. Zbl 1253.26028 Castro, Hernán; Dávila, Juan; Wang, Hui 2 2011 Multiplicity of solutions for a fourth order equation with power-type nonlinearity. Zbl 1220.35047 Dávila, Juan; Flores, Isabel; Guerra, Ignacio 35 2010 Remarks on positive and free boundary solutions to a singular equation. Zbl 1292.35108 Dávila, Juan; Montenegro, Marcelo 1 2010 Multiplicity of solutions for a fourth order problem with exponential nonlinearity. Zbl 1190.34017 Dávila, Juan; Flores, Isabel; Guerra, Ignacio 13 2009 Boundary blow-up solutions of cooperative systems. Zbl 1175.35045 Dávila, Juan; Dupaigne, Louis; Goubet, Olivier; Martínez, Salomé 8 2009 Radial solutions of an elliptic equation with singular nonlinearity. Zbl 1163.35016 Dávila, Juan; Montenegro, Marcelo 6 2009 Nonlocal anisotropic dispersal with monostable nonlinearity. Zbl 1148.45011 Coville, Jérôme; Dávila, Juan; Martínez, Salomé 110 2008 Existence and uniqueness of solutions to a nonlocal equation with monostable nonlinearity. Zbl 1161.45003 Coville, Jérôme; Dávila, Juan; Martínez, Salomé 68 2008 The extremal solution of a boundary reaction problem. Zbl 1156.35039 Dávila, Juan; Dupaigne, Louis; Montenegro, Marcelo 37 2008 Fast and slow decay solutions for supercritical elliptic problems in exterior domains. Zbl 1147.35030 Dávila, Juan; del Pino, Manuel; Musso, Monica; Wei, Juncheng 35 2008 Singular solutions of semi-linear elliptic problems. Zbl 1191.35131 Dávila, J. 14 2008 Critical points of the regular part of the harmonic Green function with Robin boundary condition. Zbl 1159.35020 Dávila, Juan; Kowalczyk, Michał; Montenegro, Marcelo 8 2008 Hausdorff dimension of rupture sets and removable singularities. Zbl 1135.35033 Dávila, Juan; Ponce, Augusto C. 5 2008 Stable solutions for the bilaplacian with exponential nonlinearity. Zbl 1138.35022 Dávila, Juan; Dupaigne, Louis; Guerra, Ignacio; Montenegro, Marcelo 39 2007 The supercritical Lane-Emden-Fowler equation in exterior domains. Zbl 1137.35023 Dávila, Juan; del Pino, Manuel; Musso, Monica 31 2007 Standing waves for supercritical nonlinear Schrödinger equations. Zbl 1124.35082 Dávila, Juan; del Pino, Manuel; Musso, Monica; Wei, Juncheng 23 2007 Perturbing singular solutions of the Gelfand problem. Zbl 1154.35047 Dávila, J.; Dupaigne, L. 20 2007 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 9 2006 Existence and asymptotic behavior for a singular parabolic equation. Zbl 1074.35020 Dávila, Juan; Montenegro, Marcelo 25 2005 Concentrating solutions in a two-dimensional elliptic problem with exponential Neumann data. Zbl 1207.35158 DÁvila, Juan; del Pino, Manuel; Musso, Monica 21 2005 Numerical analysis of stochastic differential equations with explosions. Zbl 1080.65004 Dávila, Juan; Fernández Bonder, Julian; Rossi, Julio D.; Groisman, Pablo; Sued, Mariela 9 2005 Nonlinear problems with solutions exhibiting a free boundary on the boundary. Zbl 1083.35139 Dávila, Juan; Montenegro, Marcelo 4 2005 Hölder estimates for solutions to a singular nonlinear Neumann problem. Zbl 1121.35062 Dávila, Juan; Montenegro, Marcelo 1 2005 Hardy-type inequalities. Zbl 1083.26012 Dávila, J.; Dupaigne, L. 35 2004 Global regularity for a singular equation and local \(H^ 1\) minimizers of a nondifferentiable functional. Zbl 1048.35022 Dávila, Juan 8 2004 Self-similar solutions of the porous medium equation in a half-space with a nonlinear boundary condition: existence and symmetry. Zbl 1113.35077 Dávila, Juan; Rossi, Julio D. 2 2004 Positive versus free boundary solutions to a singular elliptic equation. Zbl 1173.35743 Dávila, Juan; Montenegro, Marcelo 40 2003 Lifting of BV functions with values in \(S^1\). Zbl 1046.46026 Dávila, Juan; Ignat, Radu 25 2003 Comparison results for PDEs with a singular potential. Zbl 1040.35006 Dávila, Juan; Dupaigne, Louis 23 2003 Variants of Kato’s inequality and removable singularities. Zbl 1053.35031 Dávila, Juan; Ponce, Augusto C. 7 2003 A singular equation with positive and free boundary solutions. Zbl 1229.35091 Dávila, Juan; Montenegro, Marcelo 3 2003 On an open question about functions of bounded variation. Zbl 1047.46025 Dávila, J. 132 2002 A strong maximum principle for the Laplace equation with mixed boundary condition. Zbl 0979.35037 Dávila, Juan 15 2001 A nonlinear elliptic equation with rapidly oscillating boundary conditions. Zbl 1007.35026 Dávila, Juan 6 2001 Some extremal singular solutions of a nonlinear elliptic equation. Zbl 1059.35039 Dávila, Juan 2 2001 all cited Publications top 5 cited Publications all top 5 Cited by 1,563 Authors 52 Wei, Juncheng 46 Li, Wan-Tong 34 Ambrosio, Vincenzo 34 Dávila, Juan 31 Valdinoci, Enrico 25 Musso, Monica 24 Dipierro, Serena 22 Del Pino, Manuel A. 21 Cowan, Craig 21 Shen, Wenxian 19 Guo, Zongming 18 da Silva Montenegro, Marcelo 17 Cao, Daomin 17 Coville, Jerome 15 Otárola, Enrique 14 Sun, Jianwen 13 Sire, Yannick 13 Yang, Feiying 12 Chen, Wenjing 12 Zou, Wenming 11 Ao, Weiwei 11 Cabré, Xavier 11 Chen, Haibo 11 Díaz Díaz, Jesús Ildefonso 11 Duong, Anh Tuan 11 Salgado, Abner J. 11 Wang, Jiabing 10 Aghajani, Asadollah 10 Alves, Claudianor Oliveira 10 Bao, Xiongxiong 10 Du, Yihong 10 Fall, Mouhamed Moustapha 10 Harrabi, Abdellaziz 10 Ignat, Radu 10 Kim, Seunghyeok 10 Lai, Baishun 10 Long, Wei 10 Wang, Kelei 10 Zhang, Li 10 Zhou, Feng 9 Abdellaoui, Boumediene 9 Deng, Shengbing 9 Dupaigne, Louis 9 Figueiredo, Giovany Malcher 9 Mahmoudi, Fethi 9 Novaga, Matteo 9 Squassina, Marco 9 Teng, Kaimin 9 Tertikas, Achilles 9 Torres Ledesma, César Enrique 9 Wang, Zhicheng 9 Zheng, Youquan 9 Zhou, Yifu 8 Chen, Huyuan 8 Cosner, Chris 8 Do Ó, João M. Bezerra 8 Fazly, Mostafa 8 Filippas, Stathis 8 González, María del Mar 8 Liu, Weiming 8 Liu, Zhongyuan 8 Nguyen Phuoc Tai 8 Nguyen, Hoai-Minh 8 Peral Alonso, Ireneo 8 Pinamonti, Andrea 8 Poliakovsky, Arkady 8 Qin, Guolin 8 Vazquez, Juan Luis 8 Zaidi, Cherif 8 Zhang, Jihui 7 Antil, Harbir 7 Barrios Barrera, Begoña 7 Cantrell, Robert Stephen 7 Feng, Meiqiang 7 Figalli, Alessio 7 García-Melián, Jorge 7 Giacomoni, Jacques 7 Gkikas, Konstantinos T. 7 Li, Fang 7 Medina, Maria 7 Molica Bisci, Giovanni 7 Nazarov, Alexander I. 7 Niu, Miaomiao 7 Nochetto, Ricardo Horacio 7 Primo, Ana R. M. 7 Rahal, Belgacem 7 Shang, Xudong 7 Tang, Zhongwei 7 Tkachov, Pasha 7 Trofimchuk, Sergei I. 7 Wan, Jie 7 Yang, Jianfu 7 Yang, Jing 7 Yang, Wen 7 Ye, Dong 7 Zou, Changjun 6 Brézis, Haïm 6 Chen, Guoyuan 6 Cianchi, Andrea 6 Cinti, Eleonora ...and 1,463 more Authors all top 5 Cited in 241 Serials 127 Journal of Differential Equations 88 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 85 Calculus of Variations and Partial Differential Equations 64 Journal of Mathematical Analysis and Applications 64 Discrete and Continuous Dynamical Systems 48 Journal of Functional Analysis 43 Communications on Pure and Applied Analysis 31 Proceedings of the American Mathematical Society 28 Advanced Nonlinear Studies 26 Communications in Contemporary Mathematics 25 Mathematical Methods in the Applied Sciences 24 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 24 Complex Variables and Elliptic Equations 22 Mathematische Annalen 20 Annali di Matematica Pura ed Applicata. Serie Quarta 19 Journal of Mathematical Physics 19 Discrete and Continuous Dynamical Systems. Series B 19 Boundary Value Problems 18 The Journal of Geometric Analysis 18 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 18 Nonlinear Analysis. Real World Applications 17 ZAMP. Zeitschrift für angewandte Mathematik und Physik 16 Archive for Rational Mechanics and Analysis 16 Applied Mathematics Letters 16 Discrete and Continuous Dynamical Systems. Series S 15 Nonlinearity 14 Journal of Dynamics and Differential Equations 13 Mathematische Nachrichten 13 NoDEA. Nonlinear Differential Equations and Applications 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 13 Science China. Mathematics 12 Applicable Analysis 12 SIAM Journal on Mathematical Analysis 11 Journal d’Analyse Mathématique 11 Advances in Mathematics 11 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 Communications in Mathematical Physics 10 Journal of Evolution Equations 9 Communications on Pure and Applied Mathematics 9 Transactions of the American Mathematical Society 9 Acta Mathematica Sinica. English Series 9 Advances in Nonlinear Analysis 8 Computers & Mathematics with Applications 8 Potential Analysis 7 Journal für die Reine und Angewandte Mathematik 7 Communications in Partial Differential Equations 7 Fractional Calculus & Applied Analysis 7 Analysis and Mathematical Physics 7 Mathematics in Engineering 6 Journal of Mathematical Biology 6 Journal of the London Mathematical Society. Second Series 6 Asymptotic Analysis 6 Journal of Nonlinear Science 6 Electronic Journal of Differential Equations (EJDE) 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Journal of Fixed Point Theory and Applications 6 Analysis & PDE 6 Journal of Pseudo-Differential Operators and Applications 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Applied Mathematics and Computation 5 Manuscripta Mathematica 5 Proceedings of the Edinburgh Mathematical Society. Series II 5 Proceedings of the London Mathematical Society. Third Series 5 Revista Matemática Iberoamericana 5 Topological Methods in Nonlinear Analysis 5 Journal of Inequalities and Applications 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 5 Mediterranean Journal of Mathematics 5 Bulletin of Mathematical Sciences 5 Journal of Elliptic and Parabolic Equations 4 Chaos, Solitons and Fractals 4 Mathematische Zeitschrift 4 Acta Applicandae Mathematicae 4 Physica D 4 Journal of Scientific Computing 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 SIAM Journal on Scientific Computing 4 Journal of the European Mathematical Society (JEMS) 4 Nonlinear Analysis. Modelling and Control 4 Milan Journal of Mathematics 4 Journal of Applied Analysis and Computation 4 AIMS Mathematics 4 Electronic Research Archive 3 Israel Journal of Mathematics 3 Journal of Computational Physics 3 Annales de l’Institut Fourier 3 Bulletin of the London Mathematical Society 3 Indiana University Mathematics Journal 3 Numerische Mathematik 3 SIAM Journal on Control and Optimization 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Journal of Mathematical Sciences (New York) 3 Opuscula Mathematica 3 Abstract and Applied Analysis 3 Communications in Nonlinear Science and Numerical Simulation 3 Annales Henri Poincaré 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Advances in Calculus of Variations 3 Annals of PDE ...and 141 more Serials all top 5 Cited in 47 Fields 1,324 Partial differential equations (35-XX) 175 Biology and other natural sciences (92-XX) 108 Calculus of variations and optimal control; optimization (49-XX) 107 Operator theory (47-XX) 104 Real functions (26-XX) 98 Functional analysis (46-XX) 89 Integral equations (45-XX) 78 Differential geometry (53-XX) 76 Global analysis, analysis on manifolds (58-XX) 60 Fluid mechanics (76-XX) 54 Numerical analysis (65-XX) 49 Ordinary differential equations (34-XX) 25 Dynamical systems and ergodic theory (37-XX) 24 Potential theory (31-XX) 22 Probability theory and stochastic processes (60-XX) 22 Mechanics of deformable solids (74-XX) 22 Statistical mechanics, structure of matter (82-XX) 20 Measure and integration (28-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 9 Functions of a complex variable (30-XX) 8 Optics, electromagnetic theory (78-XX) 8 Geophysics (86-XX) 7 Quantum theory (81-XX) 7 Information and communication theory, circuits (94-XX) 6 Special functions (33-XX) 6 Difference and functional equations (39-XX) 5 Approximations and expansions (41-XX) 5 Mechanics of particles and systems (70-XX) 4 Integral transforms, operational calculus (44-XX) 4 Convex and discrete geometry (52-XX) 4 Systems theory; control (93-XX) 3 Combinatorics (05-XX) 3 Computer science (68-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year