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arXiv · 2602.21832

Capillary $L_p$-curvature problem

Yingxiang Hu·Mohammad N. Ivaki
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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 $L_p$-curvature problem for all $1<p<k+1$ and all contact angles $\theta\in(0,\pi/2)$.

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Yingxiang Hu, Mohammad N. Ivaki. 2026-02-25. Capillary $L_p$-curvature problem. https://arxiv.org/abs/2602.21832

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