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arXiv · 2411.15335

Boundary regularity for a fully nonlinear free transmission problem

David Jesus·Edgard A. Pimentel·David Stolnicki
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Abstract

We examine boundary regularity for a fully nonlinear free transmission problem. We argue using approximation methods, comparing the operators driving the problem with a limiting profile. Working natural conditions on the data of the problem, we produce regularity estimates in Sobolev and $C^{1,{\rm Log-Lip}}$-spaces. Our findings extend recent developments in the literature to the free boundary setting.

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David Jesus, Edgard A. Pimentel, David Stolnicki. 2024-11-22. Boundary regularity for a fully nonlinear free transmission problem. https://arxiv.org/abs/2411.15335

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