English

A unified flow approach to smooth, even $L_p$-Minkowski problems

Differential Geometry 2018-10-10 v2 Analysis of PDEs

Abstract

We study long-time existence and asymptotic behaviour for a class of anisotropic, expanding curvature flows. For this we adapt new curvature estimates, which were developed by Guan, Ren and Wang to treat some stationary prescribed curvature problems. As an application we give a unified flow approach to the existence of smooth, even LpL_p-Minkowski problems in Rn+1\mathbb{R}^{n+1} for p>n1.p>-n-1.

Keywords

Cite

@article{arxiv.1608.02770,
  title  = {A unified flow approach to smooth, even $L_p$-Minkowski problems},
  author = {Paul Bryan and Mohammad N. Ivaki and Julian Scheuer},
  journal= {arXiv preprint arXiv:1608.02770},
  year   = {2018}
}

Comments

21 pages. Comments are welcome

R2 v1 2026-06-22T15:15:46.646Z