Lipschitz Continuity for Elliptic Free Boundary Problems with Dini Mean Oscillation Coefficients

Autor:	Lyaghfouri, Abdeslem
Rok vydání:	2022
Předmět:	Mathematics - Analysis of PDEs 35J15 35R35
Druh dokumentu:	Working Paper
Popis:	We establish local interior Lipschitz continuity of the solutions of a class of free boundary elliptic problems assuming the coefficients of the equation of Dini mean oscillation in at least one direction. The novelty in this regularity result lies in the fact that it allows discontinuous coefficients in all but one variable.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2206.10239 Zobrazit plný text záznamu View this record from Arxiv