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Author ID: davila.juan Recent zbMATH articles by "Dávila, Juan"
Published as: Dávila, Juan; Dávila, J.; Davila, Juan; Dávila, Juan Diego; DÁvila, Juan; Davila, J.
Homepage: http://capde.cl/juan-davila/
External Links: MGP · ORCID · dblp
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

Publications by Year

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 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