April 29, 2024Open Access

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

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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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Li et al. (Mon,) studied this question.

synapsesocial.com/papers/68e6d2d1b6db643587650338 https://doi.org/https://doi.org/10.48550/arxiv.2404.18757

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