About the Geometry and Regularity of Largest Subsolutions for a Free Boundary Problem in R2: Elliptic Case

Details About the Geometry and Regularity of Largest Subsolutions for a Free Boundary Problem in R2: Elliptic Case About the Geometry and Regularity of Largest Subsolutions for a Free Boundary Problem in R2: Elliptic Case

2011-01-14

arxiv.org/abs/1101.2928v1

Mathematics

Analysis of PDEs

Scientific paper

We study geometric and regularity properties of the largest subsolution of a
one-phase free boundary problem under a very general free boundary condition in
R2. Moreover, we provide density bounds for the positivity set and its
complement near the free boundary.

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