Obstacle type problems for minimal surfaces

2016/01/11 by L. Caffarelli, D. De Silva, Caffarelli, L. +3
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1601.02550

arxiv created 2016/01/11 · arxiv updated 2016/01/12

Abstract

We study certain obstacle type problems involving standard and nonlocal minimal surfaces. We obtain optimal regularity of the solution and a characterization of the free boundary.

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