Calculus of Variations and Geometric Measure Theory

D. Giovagnoli - D. Jesus

A fully nonlinear transmission problem degenerating on the interface

created by giovagnoli on 23 Oct 2024

[BibTeX]

preprint

Inserted: 23 oct 2024

Year: 2024

ArXiv: 2410.16957 PDF

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.