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

Hayk Mikayelyan, and John Andersson
(Please use for correspondence this email).

Submission date: 25. Apr. 2006
Pages: 14
MSC-Numbers: 35J25, 35J60, 35R35
Keywords and phrases: free boundary problems, boundary regularity, Obstacle Problem
Download preprint: PDF (606 kB), PS ziped (228 kB)

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].