activity
20062022
most citedRegularity estimates for the solution and the free boundary to the obstacle problem for the fractional Laplacian

555 citations · 626 across the 10 of their papers we have counts for

collaborators

10 papers

math.AP2022

Recent Results On Nonlinear Elliptic Free Boundary Problems

Fausto Ferrari, Claudia Lederman, Sandro Salsa

In this paper we give an overview of some recent and older results concerning free boundary problems governed by elliptic operators.

physics.app-ph2017★ 6 cited

Solution Map Analysis of a Multiscale Drift-Diffusion Model for Organic Solar Cells

Maurizio Verri, Matteo Porro, Riccardo Sacco +1

In this article we address the theoretical study of a multiscale drift-diffusion (DD) model for the description of photoconversion mechanisms in organic solar cells. The multiscale…

math.AP2017★ 1 cited

Regularity of higher order in two-phase free boundary problems

Daniela De Silva, Fausto Ferrari, Sandro Salsa

We develop further the strategy implemented in our series of papers on inhomogeneous two-phase fee boundary problems, to show that flat or Lipschitz free boundaries of such problem…

math.AP2015★ 18 cited

Regularity of the free boundary for two-phase problems governed by divergence form equations and applications

Daniela De Silva, Fausto Ferrari, Sandro Salsa

We study a class of two-phase inhomogeneous free boundary problems governed by elliptic equations in divergence form. In particular we prove that Lipschitz or flat free boundaries…

math.AP2014

Perron's solutions for two-phase free boundary problems with distributed sources

Daniela De Silva, Fausto Ferrari, Sandro Salsa

We use Perron method to construct a weak solution to a two-phase free boundary problem with right-hand-side. We thus extend the results of the pioneer work of Caffarelli for the ho…

math.AP2014★ 17 cited

Boundary Estimates for Certain Degenerate and Singular Parabolic Equations

Benny Avelin, Ugo Gianazza, Sandro Salsa

We study the boundary behavior of non-negative solutions to a class of degenerate/singular parabolic equations, whose prototype is the parabolic -Laplacian. Assuming that such s…