The Singular Set of Higher Dimensional Unstable Obstacle Type Problems

Published 14 Jul 2012 in math.AP | (1207.3398v1)

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 $\chi_{{u>0}}$ is the characteristic function of the set ${u>0}$.

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