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arXiv · 2410.16957

A fully nonlinear transmission problem degenerating on the interface

Davide Giovagnoli·David Jesus
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Abstract

In this paper we prove that solutions to a transmission problem degenerating on the interface are H\"older differentiable up to the interface with universal estimates. Furthermore, we obtain a sharper pointwise $C^{1,\alpha(\cdot)}$ with optimal variable exponent and uniform estimates.

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Davide Giovagnoli, David Jesus. 2024-10-22. A fully nonlinear transmission problem degenerating on the interface. https://arxiv.org/abs/2410.16957

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