Minkowski problem of anisotropic p-torsional rigidity

Chao Li

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arXiv · 2501.00687

Minkowski problem of anisotropic p-torsional rigidity

Chao Li

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Abstract

In this paper, we consider the Minkowski problem associated with the solution to the anisotropic $p$-Laplacian (or Finsler $p$-Laplacian) equation, namely, the Minkowski problem of anisotropic $p$-torsional rigidity. The sufficient and necessary conditions for the existence of a solution to the Minkowski problem of anisotropic $p$-torsional rigidity are presented. Meanwhile, the existence of a solution to the log-Minkowski problem of anisotropic $p$-torsional rigidity without symmetry assumptions is solved.

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Chao Li. 2025-01-01. Minkowski problem of anisotropic p-torsional rigidity. https://arxiv.org/abs/2501.00687

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