555 citations · 626 across the 10 of their papers we have counts for
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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 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…
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…
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…
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…
Free boundary regularity for fully nonlinear non-homogeneous two-phase problems
D. De Silva, F. Ferrari, S. Salsa
We prove that flat or Lipschitz free boundaries of two-phase free boundary problems governed by fully nonlinear uniformly elliptic operators and with non-zero right hand side are $…