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

2011/01/14 by Betul Orcan, Orcan, Betul
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1101.2928

openalex publication_date 2011/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Variational problems with two phases and their free boundaries

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