Boundary regularity for a fully nonlinear free transmission problem
Analysis of PDEs
2024-11-26 v1
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 -spaces. Our findings extend recent developments in the literature to the free boundary setting.
Cite
@article{arxiv.2411.15335,
title = {Boundary regularity for a fully nonlinear free transmission problem},
author = {David Jesus and Edgard A. Pimentel and David Stolnicki},
journal= {arXiv preprint arXiv:2411.15335},
year = {2024}
}