Work

On the Minkowski problem for p-harmonic measures

Year: 2024

Type: article

Abstract: We study the Minkowski problem corresponding to the p-harmonic measures and obtain results previously known for harmonic measures due to Jerison (Invent Math 105(2):375–400, 1991). We show that a class of Borel measures on spheres can be prescribed by p-harmonic measures on convex domains.

Source: Calculus of Variations and Partial Differential Equations

DOI: 10.1007/s00526-024-02865-8

Authors: Murat Akman, Shirsho Mukherjee

Institution: University of Essex

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Engineering and Physical Sciences Research Council