A fully nonlinear problem with free boundary in the plane

Details A fully nonlinear problem with free boundary in the plane A fully nonlinear problem with free boundary in the plane

2008-11-10

arxiv.org/abs/0811.1476v1

Mathematics

Analysis of PDEs

Scientific paper

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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