<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 B1/2, 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 |