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MiS Preprint
41/2006
On the Non-Tangential Touch Between the Free and Fixed Boundaries for the Two-Phase Obstacle-Like Problem
Hayk Mikayelyan and John Andersson
Abstract
In this paper we consider the following two-phase obstacle-problem-like equation in the unit half-ball \begin{equation*} \Delta u = \lambda_{+}\chi_{\{u>0\}}-\lambda_{-}\chi_{\{u0\}} ,\,\, \lambda_\pm>0. \end{equation*} We classify the angles of touch between the free boundary and the fixed one if the boundary data $f$ satisfies certain conditions. This results are connected to the results from [AMM].
