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

Autor: Li, Chao, Zhao, Xia
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 20 pages
Databáze: arXiv