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arXiv · 2601.14659

Capillary Orlicz-Minkowski flow in the upper half-space

Guanghan Li·Chenyang Liu
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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.

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Guanghan Li, Chenyang Liu. 2026-01-21. Capillary Orlicz-Minkowski flow in the upper half-space. https://arxiv.org/abs/2601.14659

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