Augusto C. Ponce
Book
Papers
- Diffuse measures and nonlinear
parabolic equations
In collaboration with Francesco Petitta and Alessio Porretta
J. Evol. Eq. 11 (2011), 861–905.
- These results have been announced in a note:
Approximation of diffuse measures for parabolic
capacities
C. R. Acad. Sci. Paris, Ser. I 346 (2008),
161–166.
- How to construct good measures
Elliptic and parabolic problems
(C. Bandle, H. Berestycki, B. Brighi, A. Brillard, M. Chipot,
J.-M. Coron,
C. Sbordone, I. Shafrir, V. Valente and G. Vergara-Caffarelli,
eds.),
Progress in Nonlinear Differential Equations and their
Applications, 63.
Birkhäuser, Verlag Basel, 2005, pp. 335–348.
A special tribute to the work of Haïm Brezis.
- Nonlinear elliptic equations with
measures revisited
In collaboration with Haïm Brezis and Moshe Marcus
Annals of Math. Studies 163, Princeton University Press, NJ,
2007, pp. 55–110.
- These results have been announced in a note:
A new concept of reduced measure for nonlinear elliptic
equations
C. R. Acad. Sci. Paris 339 (2004),
169–174.
- \(W^{1, 1}\)-maps with values into \(S^1\)
In collaboration with Haïm Brezis and Petru Mironescu
Geometric Analysis of PDE and Several Complex Variables
(S. Chanillo, P. Cordaro, N. Hanges and A. Meziani, eds.),
Contemporary Mathematics, 368. American Mathematical Society,
Providence, RI, 2005, pp. 69–100.
Additional results and proofs of some claims are also available (latest version: Dec 30, 2004).
Lectures
-
Sobolev spaces into manifolds: a toolbox
Winter School on Nonlinear Function Spaces in Mathematics and Physical Sciences, Université Claude Bernard, Lyon, December 14–18, 2015.
(version: December 31, 2015)
- Métodos
Clássicos em Teoria do Potencial
[Classical Methods in Potential Theory, in Portuguese]
II Escola Brasileira de Equações
Diferencias, IMPA, January 23–27, 2006
Published at Publicações Matemáticas, IMPA, Rio de Janeiro,
2006.
(version: August 17, 2009)
Last modified: July 10, 2017
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