Free boundary problems involving singular weights
Analysis of PDEs
2020-01-08 v4
Abstract
In this paper we initiate the investigation of free boundary minimization problems ruled by general singular operators with weights. We show existence and boundedness of minimizers. The key novelty is a sharp regularity result for solutions at their singular free boundary points. We also show a corresponding non-degeneracy estimate.
Cite
@article{arxiv.1711.08339,
title = {Free boundary problems involving singular weights},
author = {Jimmy Lamboley and Yannick Sire and Eduardo V. Teixeira},
journal= {arXiv preprint arXiv:1711.08339},
year = {2020}
}