Boundary regularity for a fully nonlinear free transmission problem

Autor: Jesus, David, Pimentel, Edgard A., Stolnicki, David
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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 $C^{1,{\rm Log-Lip}}$-spaces. Our findings extend recent developments in the literature to the free boundary setting.
Databáze: arXiv