Flow by Gauss curvature to the Minkowski problem of p-harmonic measure

2024/04/29 by Li, Chao, Zhao, Xia
#31A15 #31B05 #35K96 #52A20 #53C21 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2404.18757

Abstract

The Minkowski problem of harmonic measures was first studied by Jerison [19]. Recently, Akman and Mukherjee [1] studied the Minkowski problem corresponding to p-harmonic measures on convex domains and generalized Jerison's results. In this paper, we prove the existence of the smooth solution to the Minkowski problem for the p-harmonic measure by method of the Gauss curvature flow.

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