English

On the Lp Gaussian Minkowski problem

Analysis of PDEs 2022-11-22 v1 Differential Geometry

Abstract

Existence of symmetric (resp. asymmetric) solutions to the LpL_p Gaussian Minkowski problem for p0p\leq 0 (resp. p1p\geq 1) will be provided. Moreover, existence and uniqueness of smooth solutions to the problem for p>np>n will also be proved without the restriction that the Gaussian volumes of convex bodies are not less than one-second.

Keywords

Cite

@article{arxiv.2211.10956,
  title  = {On the Lp Gaussian Minkowski problem},
  author = {Yibin Feng and Shengnan Hu and Lei Xu},
  journal= {arXiv preprint arXiv:2211.10956},
  year   = {2022}
}

Comments

arXiv admin note: text overlap with arXiv:2207.06932

R2 v1 2026-06-28T06:18:26.342Z