On the Minkowski problem for p-harmonic measures

Fuente: arXiv
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Hauptverfasser: Akman, Murat, Mukherjee, Shirsho
Format: Preprint
Veröffentlicht: 2023
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author Akman, Murat
Mukherjee, Shirsho
author_facet Akman, Murat
Mukherjee, Shirsho
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2310_10247
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle On the Minkowski problem for p-harmonic measures
Akman, Murat
Mukherjee, Shirsho
Analysis of PDEs
31B05, 35J08, 35J25, 42B37, 42B25, 42B99
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.
title On the Minkowski problem for p-harmonic measures
topic Analysis of PDEs
31B05, 35J08, 35J25, 42B37, 42B25, 42B99
url https://arxiv.org/abs/2310.10247