Minkowski problem of anisotropic p-torsional rigidity

Chao Li

Minkowski problem of anisotropic p-torsional rigidity

Analysis of PDEs 2025-09-09 v3 Differential Geometry

Authors: Chao Li

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.

Keywords

Minkowski problem anisotropic p-torsional rigidity p-Laplacian Finsler geometry existence of solutions

Cite

@article{arxiv.2501.00687,
  title  = {Minkowski problem of anisotropic p-torsional rigidity},
  author = {Chao Li},
  journal= {arXiv preprint arXiv:2501.00687},
  year   = {2025}
}

Comments

32 pages, Improved the proof of continuity

Minkowski problem of anisotropic p-torsional rigidity

Abstract

Keywords

Cite

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