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arXiv · 2404.18757

Flow by Gauss curvature to the Minkowski problem of p-harmonic measure

Chao Li·Xia Zhao
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Abstract

The Minkowski problem of harmonic measures was first studied by Jerison [19]. Recently, Akman and Mukherjee [1] studied the Minkowski problem corresponding to $p$-harmonic measures on convex domains and generalized Jerison's results. In this paper, we prove the existence of the smooth solution to the Minkowski problem for the $p$-harmonic measure by method of the Gauss curvature flow.

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Chao Li, Xia Zhao. 2024-04-29. Flow by Gauss curvature to the Minkowski problem of p-harmonic measure. https://arxiv.org/abs/2404.18757

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