Capillary $L_p$-curvature problem
Analysis of PDEs
2026-02-26 v1 Differential Geometry
Abstract
We prove a gradient estimate for a class of capillary curvature equations in the half-space. As an application, we prove the existence of an even, smooth, strictly convex solution to the even capillary -curvature problem for all and all contact angles .
Cite
@article{arxiv.2602.21832,
title = {Capillary $L_p$-curvature problem},
author = {Yingxiang Hu and Mohammad N. Ivaki},
journal= {arXiv preprint arXiv:2602.21832},
year = {2026}
}