# Augusto Ponce

## 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).