13 citations · 23 across the 8 of their papers we have counts for
8 papers · 1 filter
Lipschitz regularity of solutions to two-phase -Laplacian free boundary problems with right hand side
Fausto Ferrari, Claudia Lederman
We prove the local Lipschitz continuity of viscosity solutions for two-phase free boundary problems for the -Laplacian with non-zero right hand side, where . Th…
Two-phase free boundary problems for operators with nonstandard growth
Fausto Ferrari, Monica Jacob, Claudia Lederman
In this paper we focus the attention on free boundary problems ruled by partial differential equations with nonstandard growth, presenting in particular some recent results. The in…
Regularity of Lipschitz free boundaries for a -Laplacian problem with right hand side
Fausto Ferrari, Claudia Lederman
We continue our study in \cite{FL} on viscosity solutions to a one-phase free boundary problem for the -Laplacian with non-zero right hand side. We first prove that viscosity…
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.
Regularity of flat free boundaries for a -Laplacian problem with right hand side
Fausto Ferrari, Claudia Lederman
We consider viscosity solutions to a one-phase free boundary problem for the -Laplacian with non-zero right hand side. We apply the tools developed in \cite{D} to prove that…
Inhomogeneous minimization problems for the -Laplacian
Claudia Lederman, Noemi Wolanski
We study an inhomogeneous minimization problems associated to the -Laplacian. We make a thorough analysis of the essential properties of their minimizers and we establish a r…
Weak Solutions and Regularity of the Interface in an Inhomogeneous Free Boundary Problem for the p(x)-Laplacian
Claudia Lederman, Noemi Wolanski
In this paper we study a one phase free boundary problem for the p(x)-Laplacian with non-zero right hand side. We prove that the free boundary of a weak solution is a C^1 surface i…
An inhomogeneous singular perturbation problem for the Laplacian
Claudia Lederman, Noemi Wolanski
In this paper we study the following singular perturbation problem for the -Laplacian: \[ Δ_{p_\varepsilon(x)}u^\varepsilon:=\mbox{div}(|\nabla u^\varepsilon(x)|^…