A fully nonlinear transmission problem degenerating on the interface
Davide Giovagnoli, David Jesus · arXiv (Cornell University) · 2024
In this paper we prove that solutions to a transmission problem degenerating on the interface are Hölder differentiable up to the interface with universal estimates. Furthermore, we obtain a sharper pointwise $C^{1,α(\cdot)}$ with optimal variable exponent and uniform estimates.