Abstract
In this paper we consider the following two-phase obstacle-problem-like equation in the unit half-ball $\Delta u = \lambda_{+\chi_{\{ u>0 \}}} - \lambda_{-\chi_{\{ u<0 \}}},\quad\lambda_{\pm}>0. $ We prove that the free boundary touches the fixed boundary (uniformly) tangentially if the boundary data f and its first and second derivatives vanish at the touch-point.
Citation
John Andersson. Norayr Matevosyan. Hayk Mikayelyan. "On the tangential touch between the free and the fixed boundaries for the two-phase obstacle-like problem." Ark. Mat. 44 (1) 1 - 15, April 2006. https://doi.org/10.1007/s11512-005-0005-2
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