A fully nonlinear transmission problem degenerating on the interface
Analysis of PDEs
2024-10-23 v1
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 with optimal variable exponent and uniform estimates.
Keywords
Cite
@article{arxiv.2410.16957,
title = {A fully nonlinear transmission problem degenerating on the interface},
author = {Davide Giovagnoli and David Jesus},
journal= {arXiv preprint arXiv:2410.16957},
year = {2024}
}