Augusto C. Ponce

A new approach to Sobolev spaces and connections to $\mathbf\Gamma$ -convergence

Augusto C. Ponce · Calculus of Variations and Partial Differential Equations · 2004 · 228 citations · Full text

Sobolev Spaces, Dirichlet Form, Harmonic Space +4

An estimate in the spirit of Poincaré's inequality

Augusto C. Ponce · Journal of the European Mathematical Society · 2004 · 155 citations · Full text

F ω, Poisson Boundary, Bounded Lipschitz Domain +3

Diffuse measures and nonlinear parabolic equations

Francesco Petitta, Augusto C. Ponce, Alessio Porretta · Journal of Evolution Equations · 2011 · 68 citations · Full text

Nonlinear Hyperbolic Problem, Diffuse Measures, Hyperbolic Equation +1

Kato's inequality when Δu is a measure

Haı̈m Brezis, Augusto C. Ponce · Comptes Rendus Mathématique · 2004 · 58 citations · Full text

A system of elliptic equations arising in Chern–Simons field theory

Chang‐Shou Lin, Augusto C. Ponce, Yisong Yang · Journal of Functional Analysis · 2007 · 52 citations · Full text

Spectral Theory, Chern–simons Field Theory, Elliptic Equation +4