Boundary regularity for a fully nonlinear free transmission problem (Preprint)

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Type: Preprint
National /International: International
Title: Boundary regularity for a fully nonlinear free transmission problem
Publication Date: 2024-11-22
Authors: - David Jesus
- Edgard Almeida Pimentel
- David Gonzalez Stolnicki
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 \( C^{1,\text{Log}−\text{Lip}} \)-spaces. Our findings extend recent developments in the literature to the free boundary setting.

Institution: DMUC 24-49
Online version: http://www.mat.uc.pt...prints/eng_2024.html
Download: Not available
 
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