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



Inserted: 21 dec 2023

Year: 2023

ArXiv: 2310.10247 PDF


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.