The distance function to the boundary, Finsler geometry and the singular set of viscosity solutions of some Hamilton-Jacobi equations

2003/06/06 by Yanyan Li, YanYan Li, Louis Nirenberg +2 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Fixed Point Theorems Analysis #Geometric Analysis and Curvature Flows #math.AP #msc:49L25 #msc:53C22 #msc:58B20

paper · pdf · doi:10.48550/arxiv.math/0306122

arxiv created 2003/06/06 · arxiv updated 2009/11/30

Abstract

We study the distance function to the boundary, Finsler geometry and the singular set of viscosity solutions of some Hamilton-Jacobi equations.

Cited by

• The distance to the boundary with respect to the Minkowski functional of a polytope
• Calibration for minimal surfaces with free boundary and Cheeger-type problems

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