Work

Boundary regularity for a fully nonlinear free transmission problem

Year: 2024

Type: preprint

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 $C^{1,{\rm Log-Lip}}$-spaces. Our findings extend recent developments in the literature to the free boundary setting.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2411.15335

Authors: Jesus, David, Pimentel, Edgard A., Stolnicki, David

Institutions: University of Bologna, Centro de Matemática, University of Coimbra

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Universidade de Coimbra, Ministério da Ciência, Tecnologia e Ensino Superior, Fundação para a Ciência e a Tecnologia, Centro de Matemática, Universidade de Coimbra

Awards: Centro de Matemática da Universidade de Coimbra, G2001838499, G3271324473, G4046065984, G4941397794, G6997658380, G7186092646, G7894727624, G8832587989

OpenAlex ID: W4404986370

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