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Behavior of the free boundary near contact points with the fixed boundary for nonlinear elliptic equations

Norayr Matevosyan·Peter Markowich
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Abstract

The aim of this paper is to study a free boundary problem for a uniformly elliptic fully non-linear operator. Under certain assumptions we show that free and fixed boundaries meet tangentially at contact points.

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Norayr Matevosyan, Peter Markowich. 2005-09-07. Behavior of the free boundary near contact points with the fixed boundary for nonlinear elliptic equations. https://arxiv.org/abs/math/0509156

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