Boundary pointwise regularity and applications to the regularity of free boundaries

Published 20 Apr 2022 in math.AP | (2204.09304v2)

Abstract: In this paper, we develop a series of boundary pointwise regularity for Dirichlet problems and oblique derivative problems. As applications, we give direct and simple proofs of the higher regularity of the free boundaries in obstacle-type problems and one phase problems.

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