English

Capillary $L_p$ Minkowski Flows

Analysis of PDEs 2025-09-09 v1 Differential Geometry

Abstract

We study the long-time existence and asymptotic behavior of a class of anisotropic capillary Gauss curvature flows. As an application, we provide a flow approach to the existence of smooth solutions to the capillary even LpL_p Minkowski problem in the Euclidean half-space for all p(n1,)p \in (-n-1, \infty) and capillary LpL_p Minkowski problem for p>n+1p > n+1.

Keywords

Cite

@article{arxiv.2509.06110,
  title  = {Capillary $L_p$ Minkowski Flows},
  author = {Jinrong Hu and Yingxiang Hu and Mohammad N. Ivaki},
  journal= {arXiv preprint arXiv:2509.06110},
  year   = {2025}
}
R2 v1 2026-07-01T05:25:13.927Z