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arXiv · 2310.10247

On the Minkowski problem for p-harmonic measures

Murat Akman·Shirsho Mukherjee
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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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Murat Akman, Shirsho Mukherjee. 2023-10-16. On the Minkowski problem for p-harmonic measures. https://doi.org/10.1007/s00526-024-02865-8

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