Calculus of Variations and Geometric Measure Theory

M. Akman - S. Mukherjee

On the Minkowski problem for p-harmonic measures

created by mukherjee on 21 Dec 2023
modified on 16 Jan 2025

[BibTeX]

preprint

Inserted: 21 dec 2023
Last Updated: 16 jan 2025

Journal: Calculus of Variations and Partial Differential Equations
Year: 2023
Doi: 10.1007/s00526-024-02865-8

ArXiv: 2310.10247 PDF
Links: paper

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.


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