Flow by Gauss curvature to the Minkowski problem of p-harmonic measure
Analysis of PDEs
2024-05-07 v2 Differential Geometry
Abstract
The Minkowski problem of harmonic measures was first studied by Jerison [19]. Recently, Akman and Mukherjee [1] studied the Minkowski problem corresponding to -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 -harmonic measure by method of the Gauss curvature flow.
Cite
@article{arxiv.2404.18757,
title = {Flow by Gauss curvature to the Minkowski problem of p-harmonic measure},
author = {Chao Li and Xia Zhao},
journal= {arXiv preprint arXiv:2404.18757},
year = {2024}
}
Comments
20 pages