On the Non-Tangential Touch Between the Free and Fixed Boundaries for the Two-Phase Obstacle-Like Problem

Hayk Mikayelyan and John Andersson

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Submission date: 25. Apr. 2006
Pages: 14
published in: Mathematische Annalen, 352 (2012) 2, p. 357-372 
DOI number (of the published article): 10.1007/s00208-011-0647-2
Bibtex
with the following different title: On the non-tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem
MSC-Numbers: 35J25, 35J60, 35R35
Keywords and phrases: free boundary problems, boundary regularity, Obstacle Problem
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Abstract:
In this paper we consider the following two-phase obstacle-problem-like equation in the unit half-ball

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].