Capillary $L_p$-Christoffel-Minkowski problem
Analysis of PDEs
2026-01-01 v2 Differential Geometry
Abstract
We solve the capillary -Christoffel--Minkowski problem in the half-space for in the class of even hypersurfaces. A crucial ingredient is a non-collapsing estimate that yields lower bounds for both the height and the capillary support function. Our result extends the capillary Christoffel--Minkowski existence result of \cite{HIS25}.
Keywords
Cite
@article{arxiv.2512.15464,
title = {Capillary $L_p$-Christoffel-Minkowski problem},
author = {Yingxiang Hu and Mohammad N. Ivaki},
journal= {arXiv preprint arXiv:2512.15464},
year = {2026}
}