Capillary Orlicz-Minkowski flow in the upper half-space
Differential Geometry
2026-01-22 v1
Abstract
In this paper, we study the long-time existence and asymptotic behavior of an anisotropic capillary Gauss curvature flow. By studying this flow and proving its convergence to a stationary solution, we establish a new existence result for the capillary Orlicz-Minkowski problem without the evenness assumption, and provide a flow approach to the existence of smooth solutions.
Cite
@article{arxiv.2601.14659,
title = {Capillary Orlicz-Minkowski flow in the upper half-space},
author = {Guanghan Li and Chenyang Liu},
journal= {arXiv preprint arXiv:2601.14659},
year = {2026}
}