A new approach to Sobolev spaces and connections to \(\Gamma\)-convergence. Zbl 1352.46037
Ponce, Augusto C. |
|
2004
|
Elliptic PDEs, measures and capacities. From the Poisson equation to nonlinear Thomas-Fermi problems. Zbl 1357.35003
Ponce, Augusto C. |
|
2016
|
An estimate in the spirit of Poincaré’s inequality. Zbl 1051.46019
Ponce, Augusto C. |
|
2004
|
Nonlinear elliptic equations with measures revisited. Zbl 1151.35034
Brezis, H.; Marcus, M.; Ponce, A. C. |
|
2007
|
Diffuse measures and nonlinear parabolic equations. Zbl 1243.35108
Petitta, Francesco; Ponce, Augusto C.; Porretta, Alessio |
|
2011
|
A system of elliptic equations arising in Chern-Simons field theory. Zbl 1206.35096
Lin, Chang-Shou; Ponce, Augusto C.; Yang, Yisong |
|
2007
|
Kato’s inequality when \(\Delta u\) is a measure. Zbl 1101.35028
Brezis, Haïm; Ponce, Augusto C. |
|
2004
|
Remarks on the strong maximum principle. Zbl 1065.35082
Brezis, Haïm; Ponce, Augusto C. |
|
2003
|
\(W^{1,1}\)-maps with values into \(S^1\). Zbl 1078.46020
Brezis, Haïm; Mironescu, Petru; Ponce, Augusto C. |
|
2005
|
Singularities of positive supersolutions in elliptic PDEs. Zbl 1133.35335
Dupaigne, Louis; Ponce, Augusto C. |
|
2004
|
Approximation of diffuse measures for parabolic capacities. Zbl 1141.35313
Petitta, Francesco; Ponce, Augusto C.; Porretta, Alessio |
|
2008
|
The sub-supersolution method for weak solutions. Zbl 1147.35031
Montenegro, Marcelo; Ponce, Augusto C. |
|
2008
|
Kato’s inequality up to the boundary. Zbl 1162.31005
Brezis, Haïm; Ponce, Augusto C. |
|
2008
|
Semilinear elliptic equations and systems with diffuse measures. Zbl 1171.35038
Orsina, Luigi; Ponce, Augusto C. |
|
2008
|
Elliptic equations with vertical asymptotes in the nonlinear term. Zbl 1132.35366
Dupaigne, Louis; Ponce, Augusto C.; Porretta, Alessio |
|
2006
|
A boxing inequality for the fractional perimeter. Zbl 1466.46029
Ponce, Augusto C.; Spector, Daniel |
|
2020
|
Strong density for higher order Sobolev spaces into compact manifolds. Zbl 1318.58006
Bousquet, Pierre; Ponce, Augusto C.; Van Schaftingen, Jean |
|
2015
|
Isolated boundary singularities of semilinear elliptic equations. Zbl 1215.35075
Bidaut-Véron, Marie-Françoise; Ponce, Augusto C.; Véron, Laurent |
|
2011
|
Semilinear equations with exponential nonlinearity and measure data. Zbl 1148.35318
Bartolucci, Daniele; Leoni, Fabiana; Orsina, Luigi; Ponce, Augusto C. |
|
2005
|
Reduced measures for obstacle problems. Zbl 1208.35071
Brezis, Haïm; Ponce, Augusto C. |
|
2005
|
On formulae decoupling the total variation of BV functions. Zbl 1359.26011
Ponce, Augusto C.; Spector, Daniel |
|
2017
|
Density of smooth maps for fractional Sobolev spaces \(W^{s, p}\) into \(\ell\) simply connected manifolds when \(s \geq 1\). Zbl 1314.58005
Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean |
|
2013
|
Reduced measures on the boundary. Zbl 1081.31007
Brezis, Haım; Ponce, Augusto C. |
|
2005
|
Boundary singularities of positive solutions of some nonlinear elliptic equations. Zbl 1241.35100
Bidaut-Véron, Marie-Françoise; Ponce, Augusto C.; Véron, Laurent |
|
2007
|
Strong maximum principle for Schrödinger operators with singular potential. Zbl 1342.35083
Orsina, Luigi; Ponce, Augusto C. |
|
2016
|
A new concept of reduced measure for nonlinear elliptic equations. Zbl 1101.35029
Brezis, Haïm; Marcus, Moshe; Ponce, Augusto C. |
|
2004
|
Strong approximation of fractional Sobolev maps. Zbl 1310.58006
Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean |
|
2014
|
Reduced limits for nonlinear equations with measures. Zbl 1194.35483
Marcus, Moshe; Ponce, Augusto C. |
|
2010
|
Hopf potentials for the Schrödinger operator. Zbl 1388.35022
Orsina, Luigi; Ponce, Augusto C. |
|
2018
|
Schrödinger operators involving singular potentials and measure data. Zbl 1384.35018
Ponce, Augusto C.; Wilmet, Nicolas |
|
2017
|
Variants of Kato’s inequality and removable singularities. Zbl 1053.35031
Dávila, Juan; Ponce, Augusto C. |
|
2003
|
Closure of smooth maps in \(W^{1,p}(B^3;S^2)\). Zbl 1240.46063
Ponce, Augusto C.; Van Schaftingen, Jean |
|
2009
|
On the nonexistence of Green’s function and failure of the strong maximum principle. Zbl 1439.35148
Orsina, Luigi; Ponce, Augusto C. |
|
2020
|
Hausdorff dimension of rupture sets and removable singularities. Zbl 1135.35033
Dávila, Juan; Ponce, Augusto C. |
|
2008
|
How to construct good measures. Zbl 1160.35414
Ponce, Augusto C. |
|
2005
|
Density of bounded maps in Sobolev spaces into complete manifolds. Zbl 1380.58007
Bousquet, Pierre; Ponce, Augusto C.; Van Schaftingen, Jean |
|
2017
|
A note on the fractional perimeter and interpolation.
(Une note sur le périmètre fractionnaire et l’interpolation.) Zbl 1385.46024
Ponce, Augusto C.; Spector, Daniel |
|
2017
|
A variant of Poincaré’s inequality. Zbl 1073.46028
Ponce, Augusto C. |
|
2003
|
On the distributions of the form \(\sum_i(\delta_{p_i}-\delta_{n_i})\). Zbl 1031.46045
Ponce, Augusto C. |
|
2003
|
The role of interplay between coefficients in the \(G\)-convergence of some elliptic equations. Zbl 1386.35064
Boccardo, Lucio; Orsina, Luigi; Ponce, Augusto C. |
|
2017
|
A decomposition by non-negative functions in the Sobolev space \(W^{k,1}\). Zbl 1453.46033
Ponce, Augusto; Spector, Daniel |
|
2020
|
A case of density in \(W^{2,p}(M;N)\). Zbl 1156.46010
Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean |
|
2008
|
The continuity of functions with \(N\)-th derivative measure. Zbl 1137.46023
Ponce, Augusto C.; Van Schaftingen, Jean |
|
2007
|
On the distributions of the form \(\sum_i(\delta_{p_i}-\delta_{n_i})\). Zbl 1066.46029
Ponce, Augusto C. |
|
2004
|
Weak approximation by bounded Sobolev maps with values into complete manifolds.
(Densité faible des fonctions de Sobolev bornées à valeurs dans des variétés complètes.) Zbl 1390.58008
Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean |
|
2018
|
Critical weak-\(L^p\) differentiability of singular integrals. Zbl 1459.42017
Ambrosio, Luigi; Ponce, Augusto C.; Rodiac, Rémy |
|
2020
|
Optimal control of nonlinear elliptic problems with sparsity. Zbl 1401.49005
Ponce, Augusto C.; Wilmet, Nicolas |
|
2018
|
The Hopf lemma for the Schrödinger operator. Zbl 1437.35195
Ponce, Augusto C.; Wilmet, Nicolas |
|
2020
|
Singularities of the divergence of continuous vector fields and uniform Hausdorff estimates. Zbl 1295.28008
Ponce, Augusto |
|
2013
|
The precise representative for the gradient of the Riesz potential of a finite measure. Zbl 1521.31009
Cufí, Julià; Ponce, Augusto C.; Verdera, Joan |
|
2022
|
Some remarks on capacitary integrals and measure theory. Zbl 1527.31014
Ponce, Augusto C.; Spector, Daniel |
|
2023
|
Some remarks on capacitary integrals and measure theory. Zbl 1527.31014
Ponce, Augusto C.; Spector, Daniel |
|
2023
|
The precise representative for the gradient of the Riesz potential of a finite measure. Zbl 1521.31009
Cufí, Julià; Ponce, Augusto C.; Verdera, Joan |
|
2022
|
A boxing inequality for the fractional perimeter. Zbl 1466.46029
Ponce, Augusto C.; Spector, Daniel |
|
2020
|
On the nonexistence of Green’s function and failure of the strong maximum principle. Zbl 1439.35148
Orsina, Luigi; Ponce, Augusto C. |
|
2020
|
A decomposition by non-negative functions in the Sobolev space \(W^{k,1}\). Zbl 1453.46033
Ponce, Augusto; Spector, Daniel |
|
2020
|
Critical weak-\(L^p\) differentiability of singular integrals. Zbl 1459.42017
Ambrosio, Luigi; Ponce, Augusto C.; Rodiac, Rémy |
|
2020
|
The Hopf lemma for the Schrödinger operator. Zbl 1437.35195
Ponce, Augusto C.; Wilmet, Nicolas |
|
2020
|
Hopf potentials for the Schrödinger operator. Zbl 1388.35022
Orsina, Luigi; Ponce, Augusto C. |
|
2018
|
Weak approximation by bounded Sobolev maps with values into complete manifolds.
(Densité faible des fonctions de Sobolev bornées à valeurs dans des variétés complètes.) Zbl 1390.58008
Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean |
|
2018
|
Optimal control of nonlinear elliptic problems with sparsity. Zbl 1401.49005
Ponce, Augusto C.; Wilmet, Nicolas |
|
2018
|
On formulae decoupling the total variation of BV functions. Zbl 1359.26011
Ponce, Augusto C.; Spector, Daniel |
|
2017
|
Schrödinger operators involving singular potentials and measure data. Zbl 1384.35018
Ponce, Augusto C.; Wilmet, Nicolas |
|
2017
|
Density of bounded maps in Sobolev spaces into complete manifolds. Zbl 1380.58007
Bousquet, Pierre; Ponce, Augusto C.; Van Schaftingen, Jean |
|
2017
|
A note on the fractional perimeter and interpolation.
(Une note sur le périmètre fractionnaire et l’interpolation.) Zbl 1385.46024
Ponce, Augusto C.; Spector, Daniel |
|
2017
|
The role of interplay between coefficients in the \(G\)-convergence of some elliptic equations. Zbl 1386.35064
Boccardo, Lucio; Orsina, Luigi; Ponce, Augusto C. |
|
2017
|
Elliptic PDEs, measures and capacities. From the Poisson equation to nonlinear Thomas-Fermi problems. Zbl 1357.35003
Ponce, Augusto C. |
|
2016
|
Strong maximum principle for Schrödinger operators with singular potential. Zbl 1342.35083
Orsina, Luigi; Ponce, Augusto C. |
|
2016
|
Strong density for higher order Sobolev spaces into compact manifolds. Zbl 1318.58006
Bousquet, Pierre; Ponce, Augusto C.; Van Schaftingen, Jean |
|
2015
|
Strong approximation of fractional Sobolev maps. Zbl 1310.58006
Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean |
|
2014
|
Density of smooth maps for fractional Sobolev spaces \(W^{s, p}\) into \(\ell\) simply connected manifolds when \(s \geq 1\). Zbl 1314.58005
Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean |
|
2013
|
Singularities of the divergence of continuous vector fields and uniform Hausdorff estimates. Zbl 1295.28008
Ponce, Augusto |
|
2013
|
Diffuse measures and nonlinear parabolic equations. Zbl 1243.35108
Petitta, Francesco; Ponce, Augusto C.; Porretta, Alessio |
|
2011
|
Isolated boundary singularities of semilinear elliptic equations. Zbl 1215.35075
Bidaut-Véron, Marie-Françoise; Ponce, Augusto C.; Véron, Laurent |
|
2011
|
Reduced limits for nonlinear equations with measures. Zbl 1194.35483
Marcus, Moshe; Ponce, Augusto C. |
|
2010
|
Closure of smooth maps in \(W^{1,p}(B^3;S^2)\). Zbl 1240.46063
Ponce, Augusto C.; Van Schaftingen, Jean |
|
2009
|
Approximation of diffuse measures for parabolic capacities. Zbl 1141.35313
Petitta, Francesco; Ponce, Augusto C.; Porretta, Alessio |
|
2008
|
The sub-supersolution method for weak solutions. Zbl 1147.35031
Montenegro, Marcelo; Ponce, Augusto C. |
|
2008
|
Kato’s inequality up to the boundary. Zbl 1162.31005
Brezis, Haïm; Ponce, Augusto C. |
|
2008
|
Semilinear elliptic equations and systems with diffuse measures. Zbl 1171.35038
Orsina, Luigi; Ponce, Augusto C. |
|
2008
|
Hausdorff dimension of rupture sets and removable singularities. Zbl 1135.35033
Dávila, Juan; Ponce, Augusto C. |
|
2008
|
A case of density in \(W^{2,p}(M;N)\). Zbl 1156.46010
Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean |
|
2008
|
Nonlinear elliptic equations with measures revisited. Zbl 1151.35034
Brezis, H.; Marcus, M.; Ponce, A. C. |
|
2007
|
A system of elliptic equations arising in Chern-Simons field theory. Zbl 1206.35096
Lin, Chang-Shou; Ponce, Augusto C.; Yang, Yisong |
|
2007
|
Boundary singularities of positive solutions of some nonlinear elliptic equations. Zbl 1241.35100
Bidaut-Véron, Marie-Françoise; Ponce, Augusto C.; Véron, Laurent |
|
2007
|
The continuity of functions with \(N\)-th derivative measure. Zbl 1137.46023
Ponce, Augusto C.; Van Schaftingen, Jean |
|
2007
|
Elliptic equations with vertical asymptotes in the nonlinear term. Zbl 1132.35366
Dupaigne, Louis; Ponce, Augusto C.; Porretta, Alessio |
|
2006
|
\(W^{1,1}\)-maps with values into \(S^1\). Zbl 1078.46020
Brezis, Haïm; Mironescu, Petru; Ponce, Augusto C. |
|
2005
|
Semilinear equations with exponential nonlinearity and measure data. Zbl 1148.35318
Bartolucci, Daniele; Leoni, Fabiana; Orsina, Luigi; Ponce, Augusto C. |
|
2005
|
Reduced measures for obstacle problems. Zbl 1208.35071
Brezis, Haïm; Ponce, Augusto C. |
|
2005
|
Reduced measures on the boundary. Zbl 1081.31007
Brezis, Haım; Ponce, Augusto C. |
|
2005
|
How to construct good measures. Zbl 1160.35414
Ponce, Augusto C. |
|
2005
|
A new approach to Sobolev spaces and connections to \(\Gamma\)-convergence. Zbl 1352.46037
Ponce, Augusto C. |
|
2004
|
An estimate in the spirit of Poincaré’s inequality. Zbl 1051.46019
Ponce, Augusto C. |
|
2004
|
Kato’s inequality when \(\Delta u\) is a measure. Zbl 1101.35028
Brezis, Haïm; Ponce, Augusto C. |
|
2004
|
Singularities of positive supersolutions in elliptic PDEs. Zbl 1133.35335
Dupaigne, Louis; Ponce, Augusto C. |
|
2004
|
A new concept of reduced measure for nonlinear elliptic equations. Zbl 1101.35029
Brezis, Haïm; Marcus, Moshe; Ponce, Augusto C. |
|
2004
|
On the distributions of the form \(\sum_i(\delta_{p_i}-\delta_{n_i})\). Zbl 1066.46029
Ponce, Augusto C. |
|
2004
|
Remarks on the strong maximum principle. Zbl 1065.35082
Brezis, Haïm; Ponce, Augusto C. |
|
2003
|
Variants of Kato’s inequality and removable singularities. Zbl 1053.35031
Dávila, Juan; Ponce, Augusto C. |
|
2003
|
A variant of Poincaré’s inequality. Zbl 1073.46028
Ponce, Augusto C. |
|
2003
|
On the distributions of the form \(\sum_i(\delta_{p_i}-\delta_{n_i})\). Zbl 1031.46045
Ponce, Augusto C. |
|
2003
|