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; Davila, J. more...less Homepage: http://www.cmm.uchile.cl/?cmm_people=juan-davila External Links: MGP · dblp Documents Indexed: 78 Publications since 1997 Co-Authors: 47 Co-Authors with 72 Joint Publications 1,216 Co-Co-Authors all top 5 Co-Authors 6 single-authored 23 Del Pino, Manuel A. 14 Wei, Juncheng 11 da Silva Montenegro, Marcelo 10 Dupaigne, Louis 9 Musso, Monica 7 Guerra, Ignacio A. 5 Martínez, Salomé 4 Coville, Jerome 3 Flores, Isabel 3 Sire, Yannick 2 Castro, Hernán 2 Chen, Wenjing 2 Dipierro, Serena 2 Goubet, Olivier 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 Capella, Antonio 1 Chipot, Michel 1 Cinti, Eleonora 1 Conca, Carlos 1 Cosner, Chris 1 Cozzi, Matteo 1 Farina, Alberto 1 Faya, Jorge 1 Fernández Bonder, Julián 1 Groisman, Pablo 1 Ignat, Radu 1 Kowalczyk, Michał 1 Lopez, Luis Fernandez 1 Nguyen, Xuan Hien 1 Peral Alonso, Ireneo 1 Pesce, Catalina 1 Pistoia, Angela 1 Ríos, Luis López 1 Sued, Mariela 1 Topp, Erwin 1 Vaira, Giusi 1 Ye, Dong all top 5 Serials 7 Journal of Differential Equations 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Journal of Functional Analysis 4 Calculus of Variations and Partial Differential Equations 3 Archive for Rational Mechanics and 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 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 64 Partial differential equations (35-XX) 8 Real functions (26-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 Fluid mechanics (76-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-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 73 Publications have been cited 1,707 times in 1,307 Documents Cited by ▼ Year ▼ Regularity of radial extremal solutions for some non-local semilinear equations. Zbl 1231.35076Capella, Antonio; Dávila, Juan; Dupaigne, Louis; Sire, Yannick 167 2011 Concentrating standing waves for the fractional nonlinear Schrödinger equation. Zbl 1322.35162Dávila, Juan; Del Pino, Manuel; Wei, Juncheng 153 2014 On an open question about functions of bounded variation. Zbl 1047.46025Dávila, J. 103 2002 Nonlocal anisotropic dispersal with monostable nonlinearity. Zbl 1148.45011Coville, Jérôme; Dávila, Juan; Martínez, Salomé 102 2008 Pulsating fronts for nonlocal dispersion and KPP nonlinearity. Zbl 1288.45007Coville, Jérôme; Dávila, Juan; Martínez, Salomé 86 2013 Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum. Zbl 1366.35215Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico 86 2015 Existence and uniqueness of solutions to a nonlocal equation with monostable nonlinearity. Zbl 1161.45003Coville, Jérôme; Dávila, Juan; Martínez, Salomé 62 2008 A monotonicity formula and a Liouville-type theorem for a fourth order supercritical problem. Zbl 1317.35054Dávila, Juan; Dupaigne, Louis; Wang, Kelei; Wei, Juncheng 54 2014 Nondegeneracy of the bubble in the critical case for nonlocal equations. Zbl 1275.35028Dávila, Juan; Del Pino, Manuel; Sire, Yannick 47 2013 On the fractional Lane-Emden equation. Zbl 1515.35311Dávila, Juan; Dupaigne, Louis; Wei, Juncheng 39 2017 Stable solutions for the bilaplacian with exponential nonlinearity. Zbl 1138.35022Dávila, Juan; Dupaigne, Louis; Guerra, Ignacio; Montenegro, Marcelo 38 2007 The extremal solution of a boundary reaction problem. Zbl 1156.35039Dávila, Juan; Dupaigne, Louis; Montenegro, Marcelo 36 2008 Positive versus free boundary solutions to a singular elliptic equation. Zbl 1173.35743Dávila, Juan; Montenegro, Marcelo 36 2003 Nonlocal \(s\)-minimal surfaces and Lawson cones. Zbl 1394.53012Dávila, Juan; del Pino, Manuel; Wei, Juncheng 33 2018 Multiplicity of solutions for a fourth order equation with power-type nonlinearity. Zbl 1220.35047Dávila, Juan; Flores, Isabel; Guerra, Ignacio 33 2010 Hardy-type inequalities. Zbl 1083.26012Dávila, J.; Dupaigne, L. 32 2004 Partial regularity of finite Morse index solutions to the Lane-Emden equation. Zbl 1215.35076Dávila, Juan; Dupaigne, Louis; Farina, Alberto 32 2011 Fast and slow decay solutions for supercritical elliptic problems in exterior domains. Zbl 1147.35030Dávila, Juan; del Pino, Manuel; Musso, Monica; Wei, Juncheng 29 2008 The supercritical Lane-Emden-Fowler equation in exterior domains. Zbl 1137.35023Dávila, Juan; del Pino, Manuel; Musso, Monica 29 2007 Lifting of BV functions with values in \(S^1\). Zbl 1046.46026Dávila, Juan; Ignat, Radu 24 2003 Existence and asymptotic behavior for a singular parabolic equation. Zbl 1074.35020Dávila, Juan; Montenegro, Marcelo 24 2005 Evolutionary stability of ideal free nonlocal dispersal. Zbl 1447.92275Cosner, Chris; Dávila, Juan; Martínez, Salomé 24 2012 Gluing methods for vortex dynamics in Euler flows. Zbl 1439.35382Davila, Juan; Del Pino, Manuel; Musso, Monica; Wei, Juncheng 23 2020 Non-uniqueness of positive ground states of non-linear Schrödinger equations. Zbl 1285.35108Dávila, Juan; Del Pino, Manuel; Guerra, Ignacio 22 2013 Singularity formation for the two-dimensional harmonic map flow into \(S^2\). Zbl 1445.35082Dávila, Juan; del Pino, Manuel; Wei, Juncheng 22 2020 Standing waves for supercritical nonlinear Schrödinger equations. Zbl 1124.35082Dávila, Juan; del Pino, Manuel; Musso, Monica; Wei, Juncheng 22 2007 Concentrating solutions in a two-dimensional elliptic problem with exponential Neumann data. Zbl 1207.35158DÁvila, Juan; del Pino, Manuel; Musso, Monica 20 2005 Nonlocal Delaunay surfaces. Zbl 1341.53006Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico 19 2016 Comparison results for PDEs with a singular potential. Zbl 1040.35006Dávila, Juan; Dupaigne, Louis 18 2003 Perturbing singular solutions of the Gelfand problem. Zbl 1154.35047Dávila, J.; Dupaigne, L. 18 2007 Nonlinear elliptic problems with a singular weight on the boundary. Zbl 1232.35048Dávila, Juan; Peral, Ireneo 17 2011 A strong maximum principle for the Laplace equation with mixed boundary condition. Zbl 0979.35037Dávila, Juan 14 2001 Singular solutions of semi-linear elliptic problems. Zbl 1191.35131Dávila, J. 13 2008 Multiplicity of solutions for a fourth order problem with exponential nonlinearity. Zbl 1190.34017Dávila, Juan; Flores, Isabel; Guerra, Ignacio 12 2009 Finite topology self-translating surfaces for the mean curvature flow in \(\mathbb{R}^3\). Zbl 1377.53011Dávila, Juan; del Pino, Manuel; Nguyen, Xuan Hien 12 2017 Point ruptures for a MEMS equation with fringing field. Zbl 1260.35047Dávila, Juan; Wei, Juncheng 11 2012 Concentration for an elliptic equation with singular nonlinearity. Zbl 1246.35085Dávila, Juan; Montenegro, Marcelo 10 2012 Bubbling solutions for nonlocal elliptic problems. Zbl 1371.35066Dávila, Juan; Ríos, Luis López; Sire, Yannick 10 2017 Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation. Zbl 1477.35153Ao, Weiwei; Dávila, Juan; Del Pino, Manuel; Musso, Monica; Wei, Juncheng 10 2021 Solutions of the fractional Allen-Cahn equation which are invariant under screw motion. Zbl 1348.35293Cinti, Eleonora; Davila, Juan; Del Pino, Manuel 10 2016 Singular limits of a two-dimensional boundary value problem arising in corrosion modelling. Zbl 1142.35611Dávila, Juan; del Pino, Manuel; Musso, Monica; Wei, Juncheng 9 2006 Numerical analysis of stochastic differential equations with explosions. Zbl 1080.65004Dávila, Juan; Fernández Bonder, Julian; Rossi, Julio D.; Groisman, Pablo; Sued, Mariela 9 2005 New type of solutions to a slightly subcritical Hénon type problem on general domains. Zbl 1380.35089Dávila, Juan; Faya, Jorge; Mahmoudi, Fethi 9 2017 Bistable boundary reactions in two dimensions. Zbl 1236.35074Dávila, Juan; del Pino, Manuel; Musso, Monica 8 2011 Critical points of the regular part of the harmonic Green function with Robin boundary condition. Zbl 1159.35020Dávila, Juan; Kowalczyk, Michał; Montenegro, Marcelo 8 2008 On finite Morse index solutions of two equations with negative exponent. Zbl 1293.35099Dávila, Juan; Ye, Dong 8 2013 Qualitative analysis of rupture solutions for a MEMS problem. Zbl 1350.35093Dávila, Juan; Wang, Kelei; Wei, Juncheng 8 2016 Global regularity for a singular equation and local \(H^ 1\) minimizers of a nondifferentiable functional. Zbl 1048.35022Dávila, Juan 7 2004 Variants of Kato’s inequality and removable singularities. Zbl 1053.35031Dávila, Juan; Ponce, Augusto C. 7 2003 Boundary blow-up solutions of cooperative systems. Zbl 1175.35045Dávila, Juan; Dupaigne, Louis; Goubet, Olivier; Martínez, Salomé 7 2009 Bubbling solutions for supercritical problems on manifolds. Zbl 1347.58004Dávila, Juan; Pistoia, Angela; Vaira, Giusi 7 2015 Partial regularity for a Liouville system. Zbl 1284.35098Dávila, Juan; Goubet, Olivier 6 2014 A nonlinear elliptic equation with rapidly oscillating boundary conditions. Zbl 1007.35026Dávila, Juan 5 2001 Radial solutions of an elliptic equation with singular nonlinearity. Zbl 1163.35016Dávila, Juan; Montenegro, Marcelo 5 2009 Bubble tower solutions for supercritical elliptic problem in \(\mathbb{R}^N\). Zbl 1358.35039Chen, Wenjing; Dávila, Juan; Guerra, Ignacio 5 2016 Nonlinear problems with solutions exhibiting a free boundary on the boundary. Zbl 1083.35139Dávila, Juan; Montenegro, Marcelo 4 2005 Hausdorff dimension of rupture sets and removable singularities. Zbl 1135.35033Dávila, Juan; Ponce, Augusto C. 4 2008 Nonlinear elliptic problem related to the Hardy inequality with singular term at the boundary. Zbl 1316.35129Abdellaoui, B.; Biroud, K.; Davila, J.; Mahmoudi, F. 4 2015 Slowly decaying radial solutions of an elliptic equation with subcritical and supercritical exponents. Zbl 1355.35074Dávila, Juan; Guerra, Ignacio 4 2016 Travelling helices and the vortex filament conjecture in the incompressible Euler equations. Zbl 1490.35262Dávila, Juan; Pino, Manuel del; Musso, Monica; Wei, Juncheng 4 2022 A singular equation with positive and free boundary solutions. Zbl 1229.35091Dávila, Juan; Montenegro, Marcelo 3 2003 Long-time asymptotics for evolutionary crystal dislocation models. Zbl 1446.35198Cozzi, Matteo; Dávila, Juan; del Pino, Manuel 3 2020 Concentrating solutions of the Liouville equation with Robin boundary condition. Zbl 1236.35046Dávila, Juan; Topp, Erwin 3 2012 A Hardy type inequality for \(W_0^{2,1}(\Omega)\) functions. Zbl 1253.26028Castro, Hernán; Dávila, Juan; Wang, Hui 2 2011 Self-similar solutions of the porous medium equation in a half-space with a nonlinear boundary condition: existence and symmetry. Zbl 1113.35077Dávila, Juan; Rossi, Julio D. 2 2004 Some extremal singular solutions of a nonlinear elliptic equation. Zbl 1059.35039Dávila, Juan 2 2001 A Hardy type inequality for \(W^{m,1}_0(\Omega)\) functions. Zbl 1273.26030Castro, Hernán; Dávila, Juan; Wang, Hui 2 2013 Resonance phenomenon for a Gelfand-type problem. Zbl 1301.34031Chen, Wenjing; Dávila, Juan 2 2013 On the behavior of positive solutions of semilinear elliptic equations in asymptotically cylindrical domains. Zbl 1366.35024Chipot, Michel; Dávila, Juan; del Pino, Manuel 2 2017 Interacting helical vortex filaments in the three-dimensional Ginzburg-Landau equation. Zbl 1509.35291Dávila, Juan; Del Pino, Manuel; Medina, Maria; Rodiac, Rémy 2 2022 Blow-up for the 3-dimensional axially symmetric harmonic map flow into \(S^2\). Zbl 1425.35107Dávila, Juan; Del Pino, Manuel; Pesce, Catalina; Wei, Juncheng 2 2019 Interacting helical traveling waves for the Gross-Pitaevskii equation. Zbl 1510.35295Dávila, Juan; Del Pino, Manuel; Medina, Maria; Rodiac, Rémy 1 2022 Hölder estimates for solutions to a singular nonlinear Neumann problem. Zbl 1121.35062Dávila, Juan; Montenegro, Marcelo 1 2005 Travelling helices and the vortex filament conjecture in the incompressible Euler equations. Zbl 1490.35262Dávila, Juan; Pino, Manuel del; Musso, Monica; Wei, Juncheng 4 2022 Interacting helical vortex filaments in the three-dimensional Ginzburg-Landau equation. Zbl 1509.35291Dávila, Juan; Del Pino, Manuel; Medina, Maria; Rodiac, Rémy 2 2022 Interacting helical traveling waves for the Gross-Pitaevskii equation. Zbl 1510.35295Dávila, Juan; Del Pino, Manuel; Medina, Maria; Rodiac, Rémy 1 2022 Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation. Zbl 1477.35153Ao, Weiwei; Dávila, Juan; Del Pino, Manuel; Musso, Monica; Wei, Juncheng 10 2021 Gluing methods for vortex dynamics in Euler flows. Zbl 1439.35382Davila, Juan; Del Pino, Manuel; Musso, Monica; Wei, Juncheng 23 2020 Singularity formation for the two-dimensional harmonic map flow into \(S^2\). Zbl 1445.35082Dávila, Juan; del Pino, Manuel; Wei, Juncheng 22 2020 Long-time asymptotics for evolutionary crystal dislocation models. Zbl 1446.35198Cozzi, Matteo; Dávila, Juan; del Pino, Manuel 3 2020 Blow-up for the 3-dimensional axially symmetric harmonic map flow into \(S^2\). Zbl 1425.35107Dávila, Juan; Del Pino, Manuel; Pesce, Catalina; Wei, Juncheng 2 2019 Nonlocal \(s\)-minimal surfaces and Lawson cones. Zbl 1394.53012Dávila, Juan; del Pino, Manuel; Wei, Juncheng 33 2018 On the fractional Lane-Emden equation. Zbl 1515.35311Dávila, Juan; Dupaigne, Louis; Wei, Juncheng 39 2017 Finite topology self-translating surfaces for the mean curvature flow in \(\mathbb{R}^3\). Zbl 1377.53011Dávila, Juan; del Pino, Manuel; Nguyen, Xuan Hien 12 2017 Bubbling solutions for nonlocal elliptic problems. Zbl 1371.35066Dávila, Juan; Ríos, Luis López; Sire, Yannick 10 2017 New type of solutions to a slightly subcritical Hénon type problem on general domains. Zbl 1380.35089Dávila, Juan; Faya, Jorge; Mahmoudi, Fethi 9 2017 On the behavior of positive solutions of semilinear elliptic equations in asymptotically cylindrical domains. Zbl 1366.35024Chipot, Michel; Dávila, Juan; del Pino, Manuel 2 2017 Nonlocal Delaunay surfaces. Zbl 1341.53006Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico 19 2016 Solutions of the fractional Allen-Cahn equation which are invariant under screw motion. Zbl 1348.35293Cinti, Eleonora; Davila, Juan; Del Pino, Manuel 10 2016 Qualitative analysis of rupture solutions for a MEMS problem. Zbl 1350.35093Dávila, Juan; Wang, Kelei; Wei, Juncheng 8 2016 Bubble tower solutions for supercritical elliptic problem in \(\mathbb{R}^N\). Zbl 1358.35039Chen, Wenjing; Dávila, Juan; Guerra, Ignacio 5 2016 Slowly decaying radial solutions of an elliptic equation with subcritical and supercritical exponents. Zbl 1355.35074Dávila, Juan; Guerra, Ignacio 4 2016 Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum. Zbl 1366.35215Dávila, Juan; del Pino, Manuel; Dipierro, Serena; Valdinoci, Enrico 86 2015 Bubbling solutions for supercritical problems on manifolds. Zbl 1347.58004Dávila, Juan; Pistoia, Angela; Vaira, Giusi 7 2015 Nonlinear elliptic problem related to the Hardy inequality with singular term at the boundary. Zbl 1316.35129Abdellaoui, B.; Biroud, K.; Davila, J.; Mahmoudi, F. 4 2015 Concentrating standing waves for the fractional nonlinear Schrödinger equation. Zbl 1322.35162Dávila, Juan; Del Pino, Manuel; Wei, Juncheng 153 2014 A monotonicity formula and a Liouville-type theorem for a fourth order supercritical problem. Zbl 1317.35054Dávila, Juan; Dupaigne, Louis; Wang, Kelei; Wei, Juncheng 54 2014 Partial regularity for a Liouville system. Zbl 1284.35098Dávila, Juan; Goubet, Olivier 6 2014 Pulsating fronts for nonlocal dispersion and KPP nonlinearity. Zbl 1288.45007Coville, Jérôme; Dávila, Juan; Martínez, Salomé 86 2013 Nondegeneracy of the bubble in the critical case for nonlocal equations. Zbl 1275.35028Dávila, Juan; Del Pino, Manuel; Sire, Yannick 47 2013 Non-uniqueness of positive ground states of non-linear Schrödinger equations. Zbl 1285.35108Dávila, Juan; Del Pino, Manuel; Guerra, Ignacio 22 2013 On finite Morse index solutions of two equations with negative exponent. Zbl 1293.35099Dávila, Juan; Ye, Dong 8 2013 A Hardy type inequality for \(W^{m,1}_0(\Omega)\) functions. Zbl 1273.26030Castro, Hernán; Dávila, Juan; Wang, Hui 2 2013 Resonance phenomenon for a Gelfand-type problem. Zbl 1301.34031Chen, Wenjing; Dávila, Juan 2 2013 Evolutionary stability of ideal free nonlocal dispersal. Zbl 1447.92275Cosner, Chris; Dávila, Juan; Martínez, Salomé 24 2012 Point ruptures for a MEMS equation with fringing field. Zbl 1260.35047Dávila, Juan; Wei, Juncheng 11 2012 Concentration for an elliptic equation with singular nonlinearity. Zbl 1246.35085Dávila, Juan; Montenegro, Marcelo 10 2012 Concentrating solutions of the Liouville equation with Robin boundary condition. Zbl 1236.35046Dávila, Juan; Topp, Erwin 3 2012 Regularity of radial extremal solutions for some non-local semilinear equations. Zbl 1231.35076Capella, Antonio; Dávila, Juan; Dupaigne, Louis; Sire, Yannick 167 2011 Partial regularity of finite Morse index solutions to the Lane-Emden equation. Zbl 1215.35076Dávila, Juan; Dupaigne, Louis; Farina, Alberto 32 2011 Nonlinear elliptic problems with a singular weight on the boundary. Zbl 1232.35048Dávila, Juan; Peral, Ireneo 17 2011 Bistable boundary reactions in two dimensions. Zbl 1236.35074Dávila, Juan; del Pino, Manuel; Musso, Monica 8 2011 A Hardy type inequality for \(W_0^{2,1}(\Omega)\) functions. Zbl 1253.26028Castro, Hernán; Dávila, Juan; Wang, Hui 2 2011 Multiplicity of solutions for a fourth order equation with power-type nonlinearity. Zbl 1220.35047Dávila, Juan; Flores, Isabel; Guerra, Ignacio 33 2010 Multiplicity of solutions for a fourth order problem with exponential nonlinearity. Zbl 1190.34017Dávila, Juan; Flores, Isabel; Guerra, Ignacio 12 2009 Boundary blow-up solutions of cooperative systems. Zbl 1175.35045Dávila, Juan; Dupaigne, Louis; Goubet, Olivier; Martínez, Salomé 7 2009 Radial solutions of an elliptic equation with singular nonlinearity. Zbl 1163.35016Dávila, Juan; Montenegro, Marcelo 5 2009 Nonlocal anisotropic dispersal with monostable nonlinearity. Zbl 1148.45011Coville, Jérôme; Dávila, Juan; Martínez, Salomé 102 2008 Existence and uniqueness of solutions to a nonlocal equation with monostable nonlinearity. Zbl 1161.45003Coville, Jérôme; Dávila, Juan; Martínez, Salomé 62 2008 The extremal solution of a boundary reaction problem. Zbl 1156.35039Dávila, Juan; Dupaigne, Louis; Montenegro, Marcelo 36 2008 Fast and slow decay solutions for supercritical elliptic problems in exterior domains. Zbl 1147.35030Dávila, Juan; del Pino, Manuel; Musso, Monica; Wei, Juncheng 29 2008 Singular solutions of semi-linear elliptic problems. Zbl 1191.35131Dávila, J. 13 2008 Critical points of the regular part of the harmonic Green function with Robin boundary condition. Zbl 1159.35020Dávila, Juan; Kowalczyk, Michał; Montenegro, Marcelo 8 2008 Hausdorff dimension of rupture sets and removable singularities. Zbl 1135.35033Dávila, Juan; Ponce, Augusto C. 4 2008 Stable solutions for the bilaplacian with exponential nonlinearity. Zbl 1138.35022Dávila, Juan; Dupaigne, Louis; Guerra, Ignacio; Montenegro, Marcelo 38 2007 The supercritical Lane-Emden-Fowler equation in exterior domains. Zbl 1137.35023Dávila, Juan; del Pino, Manuel; Musso, Monica 29 2007 Standing waves for supercritical nonlinear Schrödinger equations. Zbl 1124.35082Dávila, Juan; del Pino, Manuel; Musso, Monica; Wei, Juncheng 22 2007 Perturbing singular solutions of the Gelfand problem. Zbl 1154.35047Dávila, J.; Dupaigne, L. 18 2007 Singular limits of a two-dimensional boundary value problem arising in corrosion modelling. Zbl 1142.35611Dávila, Juan; del Pino, Manuel; Musso, Monica; Wei, Juncheng 9 2006 Existence and asymptotic behavior for a singular parabolic equation. Zbl 1074.35020Dávila, Juan; Montenegro, Marcelo 24 2005 Concentrating solutions in a two-dimensional elliptic problem with exponential Neumann data. Zbl 1207.35158DÁvila, Juan; del Pino, Manuel; Musso, Monica 20 2005 Numerical analysis of stochastic differential equations with explosions. Zbl 1080.65004Dávila, 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 1083.35139Dávila, Juan; Montenegro, Marcelo 4 2005 Hölder estimates for solutions to a singular nonlinear Neumann problem. Zbl 1121.35062Dávila, Juan; Montenegro, Marcelo 1 2005 Hardy-type inequalities. Zbl 1083.26012Dávila, J.; Dupaigne, L. 32 2004 Global regularity for a singular equation and local \(H^ 1\) minimizers of a nondifferentiable functional. Zbl 1048.35022Dávila, Juan 7 2004 Self-similar solutions of the porous medium equation in a half-space with a nonlinear boundary condition: existence and symmetry. Zbl 1113.35077Dávila, Juan; Rossi, Julio D. 2 2004 Positive versus free boundary solutions to a singular elliptic equation. Zbl 1173.35743Dávila, Juan; Montenegro, Marcelo 36 2003 Lifting of BV functions with values in \(S^1\). Zbl 1046.46026Dávila, Juan; Ignat, Radu 24 2003 Comparison results for PDEs with a singular potential. Zbl 1040.35006Dávila, Juan; Dupaigne, Louis 18 2003 Variants of Kato’s inequality and removable singularities. Zbl 1053.35031Dávila, Juan; Ponce, Augusto C. 7 2003 A singular equation with positive and free boundary solutions. Zbl 1229.35091Dávila, Juan; Montenegro, Marcelo 3 2003 On an open question about functions of bounded variation. Zbl 1047.46025Dávila, J. 103 2002 A strong maximum principle for the Laplace equation with mixed boundary condition. Zbl 0979.35037Dávila, Juan 14 2001 A nonlinear elliptic equation with rapidly oscillating boundary conditions. Zbl 1007.35026Dávila, Juan 5 2001 Some extremal singular solutions of a nonlinear elliptic equation. Zbl 1059.35039Dávila, Juan 2 2001 all cited Publications top 5 cited Publications all top 5 Cited by 1,360 Authors 46 Wei, Juncheng 45 Li, Wan-Tong 31 Ambrosio, Vincenzo 30 Dávila, Juan 26 Valdinoci, Enrico 22 Shen, Wenxian 20 Dipierro, Serena 20 Musso, Monica 18 Del Pino, Manuel A. 17 Guo, Zongming 17 da Silva Montenegro, Marcelo 15 Coville, Jerome 15 Otárola, Enrique 14 Sun, Jianwen 13 Sire, Yannick 13 Yang, Feiying 12 Cao, Daomin 12 Cowan, Craig 12 Zou, Wenming 11 Ao, Weiwei 11 Cabré, Xavier 11 Salgado, Abner J. 10 Bao, Xiongxiong 10 Díaz Díaz, Jesús Ildefonso 10 Fall, Mouhamed Moustapha 10 Harrabi, Abdellaziz 10 Lai, Baishun 10 Wang, Jiabing 10 Zhang, Li 9 Alves, Claudianor Oliveira 9 Chen, Wenjing 9 Duong, Anh Tuan 9 Dupaigne, Louis 9 Figueiredo, Giovany Malcher 9 Ignat, Radu 9 Kim, Seunghyeok 9 Squassina, Marco 9 Wang, Kelei 9 Wang, Zhi Cheng 9 Zheng, Youquan 8 Fazly, Mostafa 8 García-Melián, Jorge 8 González, María del Mar 8 Long, Wei 8 Nguyen, Hoai-Minh 8 Novaga, Matteo 8 Peral Alonso, Ireneo 8 Vazquez, Juan Luis 8 Zhang, Jihui 8 Zhou, Feng 7 Abdellaoui, Boumediene 7 Antil, Harbir 7 Deng, Shengbing 7 Do Ó, João M. Bezerra 7 Du, Yihong 7 Filippas, Stathis 7 Li, Fang 7 Liu, Weiming 7 Liu, Zhongyuan 7 Medina, Maria 7 Nazarov, Alexander I. 7 Nguyen Phuoc Tai 7 Niu, Miaomiao 7 Nochetto, Ricardo Horacio 7 Poliakovsky, Arkady 7 Rahal, Belgacem 7 Shang, Xudong 7 Teng, Kaimin 7 Tertikas, Achilles 7 Torres Ledesma, César Enrique 7 Trofimchuk, Sergei I. 7 Yang, Jianfu 7 Yang, Jing 7 Yang, Wen 7 Ye, Dong 6 Barrios Barrera, Begoña 6 Chen, Guoyuan 6 Cianchi, Andrea 6 Cosner, Chris 6 DelaTorre, Azahara 6 Ghergu, Marius 6 Godoy, Tomás F. 6 He, Xiaoming 6 Mahmoudi, Fethi 6 Miyagaki, Olimpio Hiroshi 6 Molica Bisci, Giovanni 6 Musina, Roberta 6 Pallara, Diego 6 Pinamonti, Andrea 6 Pistoia, Angela 6 Ruan, Shigui 6 Shen, Zhongwei 6 Stapenhorst, Matheus F. 6 Tang, Xianhua 6 Tang, Zhongwei 6 Tkachov, Pasha 6 Wan, Jie 6 Weth, Tobias 6 Zaidi, Cherif 5 Alimohammady, Mohsen ...and 1,260 more Authors all top 5 Cited in 212 Serials 114 Journal of Differential Equations 83 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 70 Calculus of Variations and Partial Differential Equations 61 Journal of Mathematical Analysis and Applications 61 Discrete and Continuous Dynamical Systems 44 Journal of Functional Analysis 42 Communications on Pure and Applied Analysis 28 Proceedings of the American Mathematical Society 26 Advanced Nonlinear Studies 25 Communications in Contemporary Mathematics 24 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 22 Complex Variables and Elliptic Equations 19 Annali di Matematica Pura ed Applicata. Serie Quarta 18 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 18 Boundary Value Problems 16 Journal of Mathematical Physics 16 Discrete and Continuous Dynamical Systems. Series B 15 Applied Mathematics Letters 14 ZAMP. Zeitschrift für angewandte Mathematik und Physik 14 Mathematische Annalen 14 Nonlinear Analysis. Real World Applications 13 Journal of Dynamics and Differential Equations 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 SIAM Journal on Mathematical Analysis 12 Science China. Mathematics 11 Applicable Analysis 11 Archive for Rational Mechanics and Analysis 11 Journal d’Analyse Mathématique 11 Discrete and Continuous Dynamical Systems. Series S 10 The Journal of Geometric Analysis 10 NoDEA. Nonlinear Differential Equations and Applications 9 Advances in Mathematics 9 Transactions of the American Mathematical Society 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Advances in Nonlinear Analysis 8 Computers & Mathematics with Applications 8 Communications in Mathematical Physics 8 Nonlinearity 8 Mathematische Nachrichten 8 Journal of Evolution Equations 7 Journal für die Reine und Angewandte Mathematik 7 Communications in Partial Differential Equations 6 Journal of Mathematical Biology 6 Potential Analysis 6 Acta Mathematica Sinica. English Series 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 Revista Matemática Iberoamericana 5 Journal of Nonlinear Science 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Journal of Inequalities and Applications 5 Fractional Calculus & Applied Analysis 5 Mediterranean Journal of Mathematics 5 Journal of Fixed Point Theory and Applications 5 Journal of Pseudo-Differential Operators and Applications 4 Communications on Pure and Applied Mathematics 4 Chaos, Solitons and Fractals 4 Proceedings of the Edinburgh Mathematical Society. Series II 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 Topological Methods in Nonlinear Analysis 4 Electronic Journal of Differential Equations (EJDE) 4 Journal of the European Mathematical Society (JEMS) 4 Nonlinear Analysis. Modelling and Control 4 Milan Journal of Mathematics 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Analysis & PDE 4 Analysis and Mathematical Physics 4 Bulletin of Mathematical Sciences 4 AIMS Mathematics 4 Electronic Research Archive 3 Israel Journal of Mathematics 3 Journal of Computational Physics 3 Mathematical Methods in the Applied Sciences 3 Annales de l’Institut Fourier 3 Mathematische Zeitschrift 3 Numerische Mathematik 3 SIAM Journal on Control and Optimization 3 Asymptotic Analysis 3 SIAM Journal on Scientific Computing 3 Abstract and Applied Analysis 3 Annales Henri Poincaré 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Journal of Elliptic and Parabolic Equations 2 Journal of Statistical Physics 2 Bulletin of Mathematical Biology 2 Journal of the London Mathematical Society. Second Series 2 Pacific Journal of Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Results in Mathematics 2 SIAM Journal on Numerical Analysis 2 Chinese Annals of Mathematics. Series B 2 European Journal of Applied Mathematics 2 Japan Journal of Industrial and Applied Mathematics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Computational Mathematics and Mathematical Physics ...and 112 more Serials all top 5 Cited in 47 Fields 1,111 Partial differential equations (35-XX) 158 Biology and other natural sciences (92-XX) 94 Operator theory (47-XX) 86 Calculus of variations and optimal control; optimization (49-XX) 85 Functional analysis (46-XX) 82 Real functions (26-XX) 81 Integral equations (45-XX) 62 Global analysis, analysis on manifolds (58-XX) 58 Differential geometry (53-XX) 46 Numerical analysis (65-XX) 45 Ordinary differential equations (34-XX) 37 Fluid mechanics (76-XX) 21 Dynamical systems and ergodic theory (37-XX) 21 Probability theory and stochastic processes (60-XX) 20 Potential theory (31-XX) 19 Statistical mechanics, structure of matter (82-XX) 16 Measure and integration (28-XX) 15 Mechanics of deformable solids (74-XX) 8 Functions of a complex variable (30-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Optics, electromagnetic theory (78-XX) 6 Quantum theory (81-XX) 6 Geophysics (86-XX) 5 Convex and discrete geometry (52-XX) 5 Information and communication theory, circuits (94-XX) 4 Difference and functional equations (39-XX) 4 Approximations and expansions (41-XX) 3 Combinatorics (05-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 3 Computer science (68-XX) 3 Systems theory; control (93-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 Mechanics of particles and systems (70-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