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arXiv · 2204.09304

Boundary pointwise regularity and applications to the regularity of free boundaries

Yuanyuan Lian·Kai Zhang
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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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Yuanyuan Lian, Kai Zhang. 2022-04-20. Boundary pointwise regularity and applications to the regularity of free boundaries. https://arxiv.org/abs/2204.09304

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