70 citations · 257 across the 32 of their papers we have counts for
33 papers
Diffuse measures and nonlinear parabolic equations
Francesco Petitta, Augusto C. Ponce, Alessio Porretta
Given a parabolic cylinder , where is a bounded domain, we prove new properties of solutions of \[ u_t-Δ_p u = μ\quad \text{in } \] wi…
Some Remarks on Capacitary Integrals and Measure Theory
Augusto C. Ponce, Daniel Spector
We present results for Choquet integrals with minimal assumptions on the monotone set function through which they are defined. They include the equivalence of sublinearity and stro…
An Agmon-Allegretto-Piepenbrink principle for Schroedinger operators
Stefano Buccheri, Luigi Orsina, Augusto C. Ponce
We prove that each Borel function defined on an open subset induces a decomposition such that…
A decomposition for Borel measures
Antoine Detaille, Augusto C. Ponce
We prove that every finite Borel measure in that is bounded from above by the Hausdorff measure can be split in countable many parts $μ\lfloor_{E…
A representation formula for the distributional normal derivative
Augusto C. Ponce, Nicolas Wilmet
We prove an integral representation formula for the distributional normal derivative of solutions of $$ \left\{ \begin{aligned} - Δu + V u &= μ&& \text{in ,}\\ u &= 0 && \text{o…
The precise representative for the gradient of the Riesz potential of a finite measure
Julià Cufí, Augusto C. Ponce, Joan Verdera
Given a finite nonnegative Borel measure in , we identify the Lebesgue set of the vector-valued function $$V_{s}(x)…