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M. Augusto Ponce

SST/IRMP - Institut de recherche en mathématique et physique (IRMP)
SST/SC - Faculté des sciences

Adresse courrier
  MATH - Chemin du Cyclotron,2 à 1348 Louvain-la-Neuve
Email
 
MATH
  Téléphone : 010 47 86 74
  Bâtiment : Marc De Hemptinne ; Etage 01 ; Local B 127




article de périodique

  • Bidaut-Véron Marie-Françoise, Ponce Augusto, Véron Laurent, Boundary singularities of positive solutions of some nonlinear elliptic equations, Calc. Var. Partial Differential Equations, . (A paraître, Scientifique - portée internationale).
  • Marcus Moshe, Ponce Augusto, Reduced limits for nonlinear equations with measures, J. Funct. Anal., 258, 2010, p. 2316-2372. (Publié, Scientifique - portée internationale).
  • Ponce Augusto, Van Schaftingen Jean, Closure of Smooth Maps in W^{1,p}(B^3;S^2), Differential and Integral Equations, 22, 9-10, 2009, p. 881-900. (Publié, Scientifique - portée internationale).
  • Bousquet Pierre, Ponce Augusto, Van Schaftingen Jean, A case of density in W^{2,p}(M;N), Comptes-Rendus Mathématiques, Académie des Sciences de Paris, 346, 13-14, 2008, p. 735-740. (Publié, Scientifique - portée internationale).
  • Orsina Luigi, Ponce Augusto, Reduced limits for nonlinear equations with measures, J. Evol. Eq., 8, 2008, p. 781–812. (Publié, Scientifique - portée internationale).
  • Dávila Juan, Ponce Augusto, Hausdorff dimension of rupture sets and removable singularities, C. R. Acad. Sci. Paris, 346, 2008, p. 27-32. (Publié, Scientifique - portée internationale).
  • Montenegro Marcelo, Ponce Augusto, The sub-supersolution method for weak solutions, Proc. Amer. Math. Soc., 136, 2008, p. 2429-2438. (Publié, Scientifique - portée internationale).
  • Petitta Francesco, Ponce Augusto, Porretta Alessio, Approximation of diffuse measures for parabolic capacities, C. R. Acad. Sci. Paris, 346, 2008, p. 161-166. (Publié, Scientifique - portée internationale).
  • Brezis Haim, Ponce Augusto, Kato’s inequality up to the boundary, Commun. Contemp. Math., 10, 2008, p. 1217-1241. (Publié, Scientifique - portée internationale).
  • Ponce Augusto, Van Schaftingen Jean, The continuity of functions with N-th derivatie measure, Houston Journal of Mathematics, 33, 2007, p. 927-939. (Publié, Scientifique - portée internationale).
  • Bidaut-Véron Marie-Françoise, Ponce Augusto, Véron Laurent, Boundary singularities of positive solutions of some nonlinear elliptic equations, C. R. Acad. Sci. Paris, 344, 2007, p. 83–88. (Publié, Scientifique - portée internationale).
  • Lin Chang-Shou, Ponce Augusto, Yisong Yang, A system of elliptic equations arising in Chern-Simons Field Theory, J. Funct. Anal., 247, 2007, p. 289–350. (Publié, Scientifique - portée internationale).
  • Dupaigne Louis, Ponce Augusto, Porretta Alessio, Elliptic equations with vertical asymptotes in the nonlinear term, J. Anal. Math., 98, 2006, p. 349-396. (Publié, Scientifique - portée internationale).
  • Brezis Haim, Ponce Augusto, Reduced measures for obstacle problems, Adv. Diff. Eq., 10, 2005, p. 1201-1234. (Publié, Scientifique - portée internationale).
  • Brezis Haim, Ponce Augusto, Reduced measures on the boundary, J. Funct. Anal., 229, 2005, p. 95-120. (Publié, Scientifique - portée internationale).
  • Bartolucci Daniele, Leoni Fabiana, Orsina Luigi, Ponce Augusto, Semilinear equations with exponential nonlinearity and measure data, Ann. Inst. H. Poincaré Anal. Non Linéaire, 22, 2005, p. 799-815. (Publié, Scientifique - portée internationale).
  • Brezis Haim, Marcus Moshe, Ponce Augusto, A new concept of reduced measure for nonlinear elliptic equations, C. R. Acad. Sci. Paris, 339, 2004, p. 169-174. (Publié, Scientifique - portée internationale).
  • Ponce Augusto, An estimate in the spirit of Poincaré's inequality, J. Eur. Math. Soc. (JEMS), 6, 2004, p. 1-15. (Publié, Scientifique - portée internationale).
  • Ponce Augusto, On the distributions of the form \sum_i (\delta_{p_i} - \delta_{n_i}), J. Funct. Anal., 210, 2004, p. 391-435. (Publié, Scientifique - portée internationale).
  • Brezis Haim, Ponce Augusto, Kato's inequality when \Delta u is a measure, C. R. Acad. Sci. Paris, 338, 2004, p. 599-604. (Publié, Scientifique - portée internationale).
  • Dupaigne Louis, Ponce Augusto, Singularities of positive supersolutions in elliptic PDEs, Selecta Math. (N.S.), 10, 2004, p. 341-358. (Publié, Scientifique - portée internationale).
  • Ponce Augusto, A new approach to Sobolev spaces and connections to \Gamma-convergence, Calc. Var. Partial Differential Equations, 19, 2004, p. 229-255. (Publié, Scientifique - portée internationale).
  • Ponce Augusto, On the distributions of the form \sum_i (\delta_{p_i} - \delta_{n_i}), C. R. Acad. Sci. Paris, 336, 2003, p. 571-576. (Publié, Scientifique - portée internationale).
  • Brezis Haim, Ponce Augusto, Remarks on the strong maximum principle, Diff. Int. Eq., 16, 2003, p. 1-12. (Publié, Scientifique - portée internationale).
  • Dávila Juan, Ponce Augusto, Variants of Kato's inequality and removable singularities, J. Anal. Math., 91, 2003, p. 143-178. (Publié, Scientifique - portée internationale).
  • Ponce Augusto, A variant of Poincaré’s inequality, C. R. Acad. Sci. Paris, 337, 2003, p. 253-257. (Publié, Scientifique - portée internationale).

monographie

  • Ponce Augusto, Métodos Clássicos em Teoria do Potencial [Méthodes Classiques en Théorie du Potentiel], Rio de Janeiro, IMPA, 2006, 157 p., Publicações Matemáticas. (Publié, Didactique).

contribution à un ouvrage collectif

  • Brezis Haim, Marcus Moshe, Ponce Augusto, Nonlinear elliptic equations with measures revisited, In: Mathematical Aspects of Nonlinear Dispersive Equations, J. Bourgain, C. Kenig, S. Klainerman ed(s), Princeton, NJ, Princeton University Press, 2007, Annals of Mathematics Studies, 163, p. 55-110. (Publié, Scientifique - portée internationale).
  • Ponce Augusto, How to construct good measures, In: Elliptic and parabolic problems, C. Bandle, H. Berestycki, B. Brighi, A. Brillard, M. Chipot, J.-M. Coron, C. Sbordone, I. Shafrir, V. Valente et G. Vergara-Caffarelli ed(s), Verlag Basel, Birkhäuser, 2005, Progress in Nonlinear Differential Equations and their Applications, 63, p. 335-348. (Publié, Scientifique - portée internationale).
  • Brezis Haim, Mironescu Petru, Ponce Augusto, W^{1,1}-maps with values into S^1, In: Geometric Analysis of PDE and Several Complex Variables, S. Chanillo, P. Cordaro, N. Hanges et A. Meziani ed(s), Providence, RI, Amer. Math. Soc., 2004, Contemporary Mathematics, 368, p. 69-100. (Publié, Scientifique - portée internationale).

Enseignement

Cours

Année académique 2009 - 2010
MAT 1111 A Mathématiques générales 1
MAT 1111 B Mathématiques générales 1 (1e quadrimestre)
MAT 1111 C Mathématiques générales 1 (2e quadrimestre)
MAT 1111 D Mathématiques générales 1 (1er quadrimestre)
MAT 1111 E Mathématiques générales 1 (2e quadrimestre)
MAT 1111 F Mathématiques générales 1 (1er quadrimestre)
MAT 1111 G Mathématiques générales 1 (2e quadrimestre)
MAT 1111 Mathématiques générales 1
MAT 1121 Analyse mathématique 1
MAT 1122 Analyse mathématique 2
MAT 1221 Analyse mathématique 3
MAT 2160 Séminaire de mathématique (séminaire de formation au métier de chercheur)


Publications

article de périodique

  • Bidaut-Véron Marie-Françoise, Ponce Augusto, Véron Laurent, Boundary singularities of positive solutions of some nonlinear elliptic equations, Calc. Var. Partial Differential Equations, . (A paraître, Scientifique - portée internationale).
  • Marcus Moshe, Ponce Augusto, Reduced limits for nonlinear equations with measures, J. Funct. Anal., 258, 2010, p. 2316-2372. (Publié, Scientifique - portée internationale).
  • Ponce Augusto, Van Schaftingen Jean, Closure of Smooth Maps in W^{1,p}(B^3;S^2), Differential and Integral Equations, 22, 9-10, 2009, p. 881-900. (Publié, Scientifique - portée internationale).
  • Bousquet Pierre, Ponce Augusto, Van Schaftingen Jean, A case of density in W^{2,p}(M;N), Comptes-Rendus Mathématiques, Académie des Sciences de Paris, 346, 13-14, 2008, p. 735-740. (Publié, Scientifique - portée internationale).
  • Orsina Luigi, Ponce Augusto, Reduced limits for nonlinear equations with measures, J. Evol. Eq., 8, 2008, p. 781–812. (Publié, Scientifique - portée internationale).
  • Dávila Juan, Ponce Augusto, Hausdorff dimension of rupture sets and removable singularities, C. R. Acad. Sci. Paris, 346, 2008, p. 27-32. (Publié, Scientifique - portée internationale).
  • Montenegro Marcelo, Ponce Augusto, The sub-supersolution method for weak solutions, Proc. Amer. Math. Soc., 136, 2008, p. 2429-2438. (Publié, Scientifique - portée internationale).
  • Petitta Francesco, Ponce Augusto, Porretta Alessio, Approximation of diffuse measures for parabolic capacities, C. R. Acad. Sci. Paris, 346, 2008, p. 161-166. (Publié, Scientifique - portée internationale).
  • Brezis Haim, Ponce Augusto, Kato’s inequality up to the boundary, Commun. Contemp. Math., 10, 2008, p. 1217-1241. (Publié, Scientifique - portée internationale).
  • Ponce Augusto, Van Schaftingen Jean, The continuity of functions with N-th derivatie measure, Houston Journal of Mathematics, 33, 2007, p. 927-939. (Publié, Scientifique - portée internationale).
  • Bidaut-Véron Marie-Françoise, Ponce Augusto, Véron Laurent, Boundary singularities of positive solutions of some nonlinear elliptic equations, C. R. Acad. Sci. Paris, 344, 2007, p. 83–88. (Publié, Scientifique - portée internationale).
  • Lin Chang-Shou, Ponce Augusto, Yisong Yang, A system of elliptic equations arising in Chern-Simons Field Theory, J. Funct. Anal., 247, 2007, p. 289–350. (Publié, Scientifique - portée internationale).
  • Dupaigne Louis, Ponce Augusto, Porretta Alessio, Elliptic equations with vertical asymptotes in the nonlinear term, J. Anal. Math., 98, 2006, p. 349-396. (Publié, Scientifique - portée internationale).
  • Brezis Haim, Ponce Augusto, Reduced measures for obstacle problems, Adv. Diff. Eq., 10, 2005, p. 1201-1234. (Publié, Scientifique - portée internationale).
  • Brezis Haim, Ponce Augusto, Reduced measures on the boundary, J. Funct. Anal., 229, 2005, p. 95-120. (Publié, Scientifique - portée internationale).
  • Bartolucci Daniele, Leoni Fabiana, Orsina Luigi, Ponce Augusto, Semilinear equations with exponential nonlinearity and measure data, Ann. Inst. H. Poincaré Anal. Non Linéaire, 22, 2005, p. 799-815. (Publié, Scientifique - portée internationale).
  • Brezis Haim, Marcus Moshe, Ponce Augusto, A new concept of reduced measure for nonlinear elliptic equations, C. R. Acad. Sci. Paris, 339, 2004, p. 169-174. (Publié, Scientifique - portée internationale).
  • Ponce Augusto, An estimate in the spirit of Poincaré's inequality, J. Eur. Math. Soc. (JEMS), 6, 2004, p. 1-15. (Publié, Scientifique - portée internationale).
  • Ponce Augusto, On the distributions of the form \sum_i (\delta_{p_i} - \delta_{n_i}), J. Funct. Anal., 210, 2004, p. 391-435. (Publié, Scientifique - portée internationale).
  • Brezis Haim, Ponce Augusto, Kato's inequality when \Delta u is a measure, C. R. Acad. Sci. Paris, 338, 2004, p. 599-604. (Publié, Scientifique - portée internationale).
  • Dupaigne Louis, Ponce Augusto, Singularities of positive supersolutions in elliptic PDEs, Selecta Math. (N.S.), 10, 2004, p. 341-358. (Publié, Scientifique - portée internationale).
  • Ponce Augusto, A new approach to Sobolev spaces and connections to \Gamma-convergence, Calc. Var. Partial Differential Equations, 19, 2004, p. 229-255. (Publié, Scientifique - portée internationale).
  • Ponce Augusto, On the distributions of the form \sum_i (\delta_{p_i} - \delta_{n_i}), C. R. Acad. Sci. Paris, 336, 2003, p. 571-576. (Publié, Scientifique - portée internationale).
  • Brezis Haim, Ponce Augusto, Remarks on the strong maximum principle, Diff. Int. Eq., 16, 2003, p. 1-12. (Publié, Scientifique - portée internationale).
  • Dávila Juan, Ponce Augusto, Variants of Kato's inequality and removable singularities, J. Anal. Math., 91, 2003, p. 143-178. (Publié, Scientifique - portée internationale).
  • Ponce Augusto, A variant of Poincaré’s inequality, C. R. Acad. Sci. Paris, 337, 2003, p. 253-257. (Publié, Scientifique - portée internationale).

monographie

  • Ponce Augusto, Métodos Clássicos em Teoria do Potencial [Méthodes Classiques en Théorie du Potentiel], Rio de Janeiro, IMPA, 2006, 157 p., Publicações Matemáticas. (Publié, Didactique).

contribution à un ouvrage collectif

  • Brezis Haim, Marcus Moshe, Ponce Augusto, Nonlinear elliptic equations with measures revisited, In: Mathematical Aspects of Nonlinear Dispersive Equations, J. Bourgain, C. Kenig, S. Klainerman ed(s), Princeton, NJ, Princeton University Press, 2007, Annals of Mathematics Studies, 163, p. 55-110. (Publié, Scientifique - portée internationale).
  • Ponce Augusto, How to construct good measures, In: Elliptic and parabolic problems, C. Bandle, H. Berestycki, B. Brighi, A. Brillard, M. Chipot, J.-M. Coron, C. Sbordone, I. Shafrir, V. Valente et G. Vergara-Caffarelli ed(s), Verlag Basel, Birkhäuser, 2005, Progress in Nonlinear Differential Equations and their Applications, 63, p. 335-348. (Publié, Scientifique - portée internationale).
  • Brezis Haim, Mironescu Petru, Ponce Augusto, W^{1,1}-maps with values into S^1, In: Geometric Analysis of PDE and Several Complex Variables, S. Chanillo, P. Cordaro, N. Hanges et A. Meziani ed(s), Providence, RI, Amer. Math. Soc., 2004, Contemporary Mathematics, 368, p. 69-100. (Publié, Scientifique - portée internationale).

| 2/07/2009 |