English

Generalized Minkowski inequality via degenerate Hessian equations on exterior domains

Differential Geometry 2022-07-13 v1

Abstract

In this paper, we prove a generalized Minkowski inequality holds for any smooth, (k1)(k-1)-convex, starshaped domain Ω.\Omega. Our proof relies on the solvability of the degenerate kk-Hessian equation on the exterior domain RnΩ.\mathbb R^n\setminus\Omega.

Keywords

Cite

@article{arxiv.2207.05673,
  title  = {Generalized Minkowski inequality via degenerate Hessian equations on exterior domains},
  author = {Ling Xiao},
  journal= {arXiv preprint arXiv:2207.05673},
  year   = {2022}
}