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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

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Showing 2014Show all

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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…