English

On the Minkowski problem for p-harmonic measures

Analysis of PDEs 2024-12-17 v4

Abstract

We study the Minkowski problem corresponding to the p-harmonic measures and obtain results previously known for harmonic measures due to Jerison. We show that a class of Borel measures on spheres can be prescribed by p-harmonic measures on convex domains.

Keywords

Cite

@article{arxiv.2310.10247,
  title  = {On the Minkowski problem for p-harmonic measures},
  author = {Murat Akman and Shirsho Mukherjee},
  journal= {arXiv preprint arXiv:2310.10247},
  year   = {2024}
}

Comments

Updated with minor corrections

R2 v1 2026-06-28T12:51:46.718Z