The Singular Set of Higher Dimensional Unstable Obstacle Type Problems
Analysis of PDEs
2012-07-17 v1
Abstract
In this paper we will investigate the singular points of the following unstable free boundary problem: {equation}\label{Eq} \Delta u= -\chi_{\{u>0\}} \quad\quad\textrm{in} B_1(0) {equation} where is the characteristic function of the set .
Cite
@article{arxiv.1207.3398,
title = {The Singular Set of Higher Dimensional Unstable Obstacle Type Problems},
author = {John Andersson and Henrik Shahgholian and Georg Weiss},
journal= {arXiv preprint arXiv:1207.3398},
year = {2012}
}