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arXiv · 1207.3398

The Singular Set of Higher Dimensional Unstable Obstacle Type Problems

John Andersson·Henrik Shahgholian·Georg Weiss
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Abstract

In this paper we will investigate the singular points of the following unstable free boundary problem: {equation}\label{Eq} Δu= -χ_{\{u>0\}} \quad\quad\textrm{in} B_1(0) {equation} where $χ_{\{u>0\}}$ is the characteristic function of the set $\{u>0\}$.

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John Andersson, Henrik Shahgholian, Georg Weiss. 2012-07-14. The Singular Set of Higher Dimensional Unstable Obstacle Type Problems. https://arxiv.org/abs/1207.3398

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