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arXiv · 0811.1476

A fully nonlinear problem with free boundary in the plane

Daniela De Silva·Enrico Valdinoci
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Abstract

We prove that bounded solutions to an overdetermined fully nonlinear free boundary problem in the plane are one dimensional. Our proof relies on maximum principle techniques and convexity arguments.

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Daniela De Silva, Enrico Valdinoci. 2008-11-10. A fully nonlinear problem with free boundary in the plane. https://arxiv.org/abs/0811.1476

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