Document Search Results

Ambrosio, Luigi; Ponce, Augusto C.; Rodiac, Rémy

A representation formula for the distributional normal derivative. (English) Zbl 1475.35130

Rev. Mat. Complut. 34, No. 3, 797-809 (2021).

MSC: 35J10 31B10 35B50

Cite Review PDF

Full Text: DOI arXiv

Critical weak-\(L^p\) differentiability of singular integrals. (English) Zbl 1459.42017

Rev. Mat. Iberoam. 36, No. 7, 2033-2072 (2020).

MSC: 42B20 26B05 26D10 42B37 46E35

Cite Review PDF

Full Text: DOI arXiv

Ponce, Augusto C.; Spector, Daniel

A boxing inequality for the fractional perimeter. (English) Zbl 1466.46029

Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 20, No. 1, 107-141 (2020).

Reviewer: Javier Soria (Madrid)

MSC: 46E35 28A75 31B15 42B35

Cite Review PDF

Full Text: DOI arXiv

Ponce, Augusto; Spector, Daniel

The Hopf lemma for the Schrödinger operator. (English) Zbl 1437.35195

Adv. Nonlinear Stud. 20, No. 2, 459-475 (2020).

MSC: 35J10 35J25

Cite Review PDF

Full Text: DOI arXiv

OA License

A decomposition by non-negative functions in the Sobolev space \(W^{k,1}\). (English) Zbl 1453.46033

Indiana Univ. Math. J. 69, No. 1, 151-169 (2020).

MSC: 46E35

Cite Review PDF

Full Text: DOI arXiv

On the nonexistence of Green’s function and failure of the strong maximum principle. (English. French summary) Zbl 1439.35148

J. Math. Pures Appl. (9) 134, 72-121 (2020).

MSC: 35J10 35J08 35B50

Cite Review PDF

Full Text: DOI arXiv

Optimal control of nonlinear elliptic problems with sparsity. (English) Zbl 1401.49005

SIAM J. Control Optim. 56, No. 4, 2513-2535 (2018).

Reviewer: Aygul Manapova (Ufa)

MSC: 49J20 49K20 35J20 35J91 49J52

Cite Review PDF

Full Text: DOI arXiv

Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean

Hopf potentials for the Schrödinger operator. (English) Zbl 1388.35022

Anal. PDE 11, No. 8, 2015-2047 (2018).

MSC: 35J10 35B05 35B50 31B15 31B35

Cite Review PDF

Full Text: DOI arXiv

Weak approximation by bounded Sobolev maps with values into complete manifolds. (Densité faible des fonctions de Sobolev bornées à valeurs dans des variétés complètes.) (English. French summary) Zbl 1390.58008

C. R., Math., Acad. Sci. Paris 356, No. 3, 264-271 (2018).

Reviewer: Alexander Schmeding (Berlin)

MSC: 58D15 46E35 46T20

Cite Review PDF

Full Text: DOI arXiv

OA License

Ponce, Augusto C.; van Schaftingen, Jean

Gauge-measurable functions. (English) Zbl 1443.28001

Rend. Ist. Mat. Univ. Trieste 49, 113-135 (2017).

MSC: 28A20 26A42 26B15 28A05

Cite Review PDF

Full Text: DOI arXiv

Boccardo, Lucio; Orsina, Luigi; Ponce, Augusto C.

Flat solutions of the 1-Laplacian equation. (English) Zbl 1445.35176

Rend. Ist. Mat. Univ. Trieste 49, 41-51 (2017).

MSC: 35J70 35J25 35J62 35J92

Cite Review PDF

Full Text: DOI arXiv

The role of interplay between coefficients in the \(G\)-convergence of some elliptic equations. (English) Zbl 1386.35064

Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 28, No. 4, 729-745 (2017).

Reviewer: Dagmar Medková (Praha)

MSC: 35J15 35J25

Cite Review PDF

Full Text: DOI arXiv

Bousquet, Pierre; Ponce, Augusto C.; Van Schaftingen, Jean

Density of bounded maps in Sobolev spaces into complete manifolds. (English) Zbl 1380.58007

Ann. Mat. Pura Appl. (4) 196, No. 6, 2261-2301 (2017).

Reviewer: Vagn Lundsgaard Hansen (Lyngby)

MSC: 58D15 46E35 46T20

Cite Review PDF

Full Text: DOI arXiv

Ponce, Augusto C.; Spector, Daniel

A note on the fractional perimeter and interpolation. (Une note sur le périmètre fractionnaire et l’interpolation.) (English. French summary) Zbl 1385.46024

C. R., Math., Acad. Sci. Paris 355, No. 9, 960-965 (2017).

MSC: 46E35 46B70 46E30 28A78

Cite Review PDF

Full Text: DOI arXiv

Ponce, Augusto C.; Spector, Daniel

Schrödinger operators involving singular potentials and measure data. (English) Zbl 1384.35018

J. Differ. Equations 263, No. 6, 3581-3610 (2017).

Reviewer: Giuseppe Di Fazio (Catania)

MSC: 35J10 35J15 35J25

Cite Review PDF

Full Text: DOI arXiv

On formulae decoupling the total variation of BV functions. (English) Zbl 1359.26011

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 154, 241-257 (2017).

MSC: 26A45 26A33

Cite Review PDF

Full Text: DOI arXiv

Elliptic PDEs, measures and capacities. From the Poisson equation to nonlinear Thomas-Fermi problems. (English) Zbl 1357.35003

EMS Tracts in Mathematics 23. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-140-8/hbk; 978-3-03719-640-3/ebook). x, 453 p. (2016).

Reviewer: Marius Ghergu (Dublin)

MSC: 35-02 35Axx 35Bxx 35Jxx 46Exx 28Axx 31Bxx

Cite Review PDF

Full Text: DOI

Bousquet, Pierre; Ponce, Augusto C.; Van Schaftingen, Jean

Strong maximum principle for Schrödinger operators with singular potential. (English) Zbl 1342.35083

Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33, No. 2, 477-493 (2016).

Reviewer: Tomas Vejchodsky (Praha)

MSC: 35J10 35B05 35B50 31B15 31B35

Cite Review PDF

Full Text: DOI arXiv

Strong density for higher order Sobolev spaces into compact manifolds. (English) Zbl 1318.58006

J. Eur. Math. Soc. (JEMS) 17, No. 4, 763-817 (2015).

Reviewer: Dorin Andrica (Riyadh)

MSC: 58D15 58C25 46E35 46T20

Cite Review PDF

Full Text: DOI arXiv

Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean

Strong approximation of fractional Sobolev maps. (English) Zbl 1310.58006

J. Fixed Point Theory Appl. 15, No. 1, 133-153 (2014).

Reviewer: Nicolai K. Smolentsev (Kemerovo)

MSC: 58D15 46E35 46T20

Cite Review PDF

Full Text: DOI arXiv

Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean

Density of smooth maps for fractional Sobolev spaces \(W^{s, p}\) into \(\ell\) simply connected manifolds when \(s \geq 1\). (English) Zbl 1314.58005

Confluentes Math. 5, No. 2, 3-22 (2013).

MSC: 58C25 46E35 46T20

Cite Review PDF

Full Text: DOI arXiv

Ponce, Augusto

Singularities of the divergence of continuous vector fields and uniform Hausdorff estimates. (English) Zbl 1295.28008

Indiana Univ. Math. J. 62, No. 4, 1055-1074 (2013).

Reviewer: Anna Savvopoulou (South Bend)

MSC: 28A78 35B60 35A20 35F05

Cite Review PDF

Full Text: DOI arXiv Link

Ponce, Augusto C.; Presoto, Adilson E.

Limit solutions of the Chern-Simons equation. (English) Zbl 1282.35395

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 84, 91-102 (2013).

Reviewer: Dian K. Palagachev (Bari)

MSC: 35R06 35J25 35J57

Cite Review PDF

Full Text: DOI arXiv

Petitta, Francesco; Ponce, Augusto C.; Porretta, Alessio

Selected problems on elliptic equations involving measures. arXiv:1204.0668

Preprint, arXiv:1204.0668 [math.AP] (2012).

MSC: 35J15 35J57 35J61 35J75 28A78 32U20

Cite

Full Text: arXiv

OA License

Diffuse measures and nonlinear parabolic equations. (English) Zbl 1243.35108

J. Evol. Equ. 11, No. 4, 861-905 (2011).

Reviewer: Marius Ghergu (Dublin)

MSC: 35K92 35R06

Cite Review PDF

Full Text: DOI Link

Bidaut-Véron, Marie-Françoise; Ponce, Augusto C.; Véron, Laurent

Isolated boundary singularities of semilinear elliptic equations. (English) Zbl 1215.35075

Calc. Var. Partial Differ. Equ. 40, No. 1-2, 183-221 (2011).

Reviewer: Mohammed Bouchekif (Tlemcen)

MSC: 35J61 35J91 35J20 35B09

Cite Review PDF

Full Text: DOI arXiv

Marcus, Moshe; Ponce, Augusto C.

Reduced limits for nonlinear equations with measures. (English) Zbl 1194.35483

J. Funct. Anal. 258, No. 7, 2316-2372 (2010).

Reviewer: John Urbas (Canberra)

MSC: 35R06 35J61 35D30 35B25

Cite Review PDF

Full Text: DOI

Ponce, Augusto C.; Van Schaftingen, Jean

Closure of smooth maps in \(W^{1,p}(B^3;S^2)\). (English) Zbl 1240.46063

Differ. Integral Equ. 22, No. 9-10, 881-900 (2009).

Reviewer: Miroslav Krbec (Praha)

MSC: 46E35 46T30 58D15

Cite Review PDF

Full Text: arXiv

Semilinear elliptic equations and systems with diffuse measures. (English) Zbl 1171.35038

J. Evol. Equ. 8, No. 4, 781-812 (2008).

Reviewer: Lubomira Softova (Aversa)

MSC: 35J55 35J60

Cite Review PDF

Full Text: DOI

Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean

Kato’s inequality up to the boundary. (English) Zbl 1162.31005

Commun. Contemp. Math. 10, No. 6, 1217-1241 (2008).

Reviewer: Roman Urban (Wrocław)

MSC: 31B25 31B35 35J15

Cite Review PDF

Full Text: DOI

A case of density in \(W^{2,p}(M;N)\). (English. Abridged French version) Zbl 1156.46010

C. R., Math., Acad. Sci. Paris 346, No. 13-14, 735-740 (2008).

MSC: 46A35 58D15

Cite Review PDF

Full Text: DOI

Montenegro, Marcelo; Ponce, Augusto C.

The sub-supersolution method for weak solutions. (English) Zbl 1147.35031

Proc. Am. Math. Soc. 136, No. 7, 2429-2438 (2008).

MSC: 35J60 35D05

Cite Review PDF

Full Text: DOI

Dávila, Juan; Ponce, Augusto C.

Hausdorff dimension of rupture sets and removable singularities. (English) Zbl 1135.35033

C. R., Math., Acad. Sci. Paris 346, No. 1-2, 27-32 (2008).

MSC: 35J60 35B45

Cite Review PDF

Full Text: DOI Link

Petitta, Francesco; Ponce, Augusto C.; Porretta, Alessio

Approximation of diffuse measures for parabolic capacities. (English) Zbl 1141.35313

C. R., Math., Acad. Sci. Paris 346, No. 3-4, 161-166 (2008).

MSC: 35B05 35D05 35K20 28A99

Cite Review PDF

Full Text: DOI Link

Ponce, Augusto C.; Van Schaftingen, Jean

The continuity of functions with \(N\)-th derivative measure. (English) Zbl 1137.46023

Houston J. Math. 33, No. 3, 927-939 (2007).

MSC: 46E35 26B05

Cite Review PDF

Brezis, H.; Marcus, M.; Ponce, A. C.

Nonlinear elliptic equations with measures revisited. (English) Zbl 1151.35034

Bourgain, Jean (ed.) et al., Mathematical aspects of nonlinear dispersive equations. Lectures of the CMI/IAS workshop on mathematical aspects of nonlinear PDEs, Princeton, NJ, USA, 2004. Princeton, NJ: Princeton University Press (ISBN 978-0-691-12955-6/pbk; 978-0-691-12860-3/hbk). Annals of Mathematics Studies 163, 55-109 (2007).

Reviewer: Peter Lindqvist (Trondheim)

MSC: 35J65 35J15 35R05

Cite Review PDF

Full Text: arXiv

Lin, Chang-Shou; Ponce, Augusto C.; Yang, Yisong

A system of elliptic equations arising in Chern-Simons field theory. (English) Zbl 1206.35096

J. Funct. Anal. 247, No. 2, 289-350 (2007).

MSC: 35J50 35J60 81T45

Cite Review PDF

Full Text: DOI

Bidaut-Véron, Marie-Françoise; Ponce, Augusto C.; Véron, Laurent

Boundary singularities of positive solutions of some nonlinear elliptic equations. (English) Zbl 1241.35100

C. R., Math., Acad. Sci. Paris 344, No. 2, 83-88 (2007).

MSC: 35J67 35J60

Cite Review PDF

Full Text: DOI arXiv HAL

Dupaigne, Louis; Ponce, Augusto C.; Porretta, Alessio

Elliptic equations with vertical asymptotes in the nonlinear term. (English) Zbl 1132.35366

J. Anal. Math. 98, 349-396 (2006).

MSC: 35J60 35J20 35R05

Cite Review PDF

Full Text: DOI

Bartolucci, Daniele; Leoni, Fabiana; Orsina, Luigi; Ponce, Augusto C.

Reduced measures for obstacle problems. (English) Zbl 1208.35071

Adv. Differ. Equ. 10, No. 11, 1201-1234 (2005).

Reviewer: Maria Agostina Vivaldi (Roma)

MSC: 35J87 35R05

Cite Review PDF

Semilinear equations with exponential nonlinearity and measure data. (English) Zbl 1148.35318

Ann. Inst. Henri Poincaré, Anal. Non Linéaire 22, No. 6, 799-815 (2005).

MSC: 35J60 35R05 35J25

Cite Review PDF

Full Text: DOI Numdam Numdam EuDML

Brezis, Haım; Ponce, Augusto C.

Reduced measures on the boundary. (English) Zbl 1081.31007

J. Funct. Anal. 229, No. 1, 95-120 (2005).

Reviewer: Dian K. Palagachev (Bari)

MSC: 31B35 35J60

Cite Review PDF

Full Text: DOI

Brezis, Haïm; Mironescu, Petru; Ponce, Augusto C.

How to construct good measures. (English) Zbl 1160.35414

Bandle, Catherine (ed.) et al., Elliptic and parabolic problems. A special tribute to the work of Haim Brezis. Basel: Birkhäuser (ISBN 3-7643-7249-4/hbk). Progress in Nonlinear Differential Equations and their Applications 63, 375-388 (2005).

Reviewer: Cristian Chifu (Cluj-Napoca)

MSC: 35J60 35B05 35J25

Cite Review PDF

\(W^{1,1}\)-maps with values into \(S^1\). (English) Zbl 1078.46020

Chanillo, Sagun (ed.) et al., Geometric analysis of PDE and several complex variables. Dedicated to François Trèves. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3386-3/pbk). Contemporary Mathematics 368, 69-100 (2005).

Reviewer: Messoud A. Efendiev (Berlin)

MSC: 46E35 58D15

Cite Review PDF

Dupaigne, Louis; Ponce, Augusto C.

A new approach to Sobolev spaces and connections to \(\Gamma\)-convergence. (English) Zbl 1352.46037

Calc. Var. Partial Differ. Equ. 19, No. 3, 229-255 (2004).

MSC: 46E35 49J45

Cite Review PDF

Full Text: DOI

Singularities of positive supersolutions in elliptic PDEs. (English) Zbl 1133.35335

Sel. Math., New Ser. 10, No. 3, 341-358 (2004).

MSC: 35J15 35B50 35B65

Cite Review PDF

Full Text: DOI HAL

Brezis, Haïm; Marcus, Moshe; Ponce, Augusto C.

A new concept of reduced measure for nonlinear elliptic equations. (English. Abridged French version) Zbl 1101.35029

C. R., Math., Acad. Sci. Paris 339, No. 3, 169-174 (2004).

MSC: 35J60 35R05

Cite Review PDF

Full Text: DOI

Kato’s inequality when \(\Delta u\) is a measure. (English. Abridged French version) Zbl 1101.35028

C. R., Math., Acad. Sci. Paris 338, No. 8, 599-604 (2004).

MSC: 35J15 35J60

Cite Review PDF

Full Text: DOI arXiv

On the distributions of the form \(\sum_i(\delta_{p_i}-\delta_{n_i})\). (English) Zbl 1066.46029

J. Funct. Anal. 210, No. 2, 391-435 (2004).

Reviewer: Amnuay Kananthai (Chiangmai)

MSC: 46F10

Cite Review PDF

Full Text: DOI

Dávila, Juan; Ponce, Augusto C.

An estimate in the spirit of Poincaré’s inequality. (English) Zbl 1051.46019

J. Eur. Math. Soc. (JEMS) 6, No. 1, 1-15 (2004).

Reviewer: Bohumír Opic (Praha)

MSC: 46E35 46E30 26D15

Cite Review PDF

Full Text: DOI

Variants of Kato’s inequality and removable singularities. (English) Zbl 1053.35031

J. Anal. Math. 91, 143-178 (2003).

Reviewer: Marco Biroli (Milano)

MSC: 35B60 35J05 26D10 35A20

Cite Review PDF

Full Text: DOI

Remarks on the strong maximum principle. (English) Zbl 1065.35082

Differ. Integral Equ. 16, No. 1, 1-12 (2003).

Reviewer: Gerhard Jank (Aachen)

MSC: 35B50 35B05 35J15

Cite Review PDF

On the distributions of the form \(\sum_i(\delta_{p_i}-\delta_{n_i})\). (English. Abridged French version) Zbl 1031.46045

C. R., Math., Acad. Sci. Paris 336, No. 7, 571-576 (2003).

MSC: 46F10 58E99

Cite Review PDF

Full Text: DOI