About the largest subsolution for a free boundary problem in R²

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About the largest subsolution for a free boundary problem in R²

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Title: About the largest subsolution for a free boundary problem in R²
Author: Orcan, Betul
Abstract: We analyze the geometry and regularity of the largest subsolution of a Free Boundary Problem. We showed that the largest subsolution is a viscosity solution of (1) with Lipschitz and Non-Degenerate properties under a very general free boundary condition. In addition to this, we provide density bounds for the positivity set and its complement near the free boundary.
Department: Mathematics
Subject: Free Boundary Problem Elliptic Largest subsolution
URI: http://hdl.handle.net/2152/ETD-UT-2010-12-2455
Date: 2010-12

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