English

About the Geometry and Regularity of Largest Subsolutions for a Free Boundary Problem in R2: Elliptic Case

Analysis of PDEs 2015-03-17 v1

Abstract

We study geometric and regularity properties of the largest subsolution of a one-phase free boundary problem under a very general free boundary condition in R2. Moreover, we provide density bounds for the positivity set and its complement near the free boundary.

Keywords

Cite

@article{arxiv.1101.2928,
  title  = {About the Geometry and Regularity of Largest Subsolutions for a Free Boundary Problem in R2: Elliptic Case},
  author = {Betul Orcan},
  journal= {arXiv preprint arXiv:1101.2928},
  year   = {2015}
}