Centre for Mathematics, University of Coimbra

<Reference List>
Type:	Preprint
National /International:	International
Title:	Optimal regularity for a two-phase free boundary problem ruled by the infinity Laplacian
Publication Date:	2018-12-11
Authors:	- Damião J. Araújo - Eduardo V. Teixeira - José Miguel Urbano
Abstract:	In this paper we consider a non-variational two-phase free boundary problem ruled by the infinity Laplacian. Our main result states that normalized viscosity solutions in B₁ are universally Lipschitz continuous in B_1/2, which is the optimal regularity for the problem. We make a new use of the Ishii-Lions' method, which works as a surrogate for the lack of a monotonicity formula and is bound to be applicable in related problems.
Institution:	DMUC 18-55
Online version:	http://www.mat.uc.pt...prints/eng_2018.html
Download:	Not available