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arXiv · 2611.02732

Capillary $L_p$ dual Minkowski flow

Jinrong Hu·Yingxiang Hu·Bo Yang
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Abstract

For $n\geq2$ and $θ\in(0,π/2)$, we study the long-time existence and asymptotic behavior of an even normalized capillary $L_p$ dual Minkowski flow in the Euclidean half-space $\overline{\mathbb{R}^{n+1}_+}$. When $pq\geq0$, the flow exists for all positive time and the evolving hypersurfaces converge smoothly along a sequence of times tending to infinity to a stationary solution of the normalized problem. If $p\neq q$, a dilation of the limit solves the unnormalized problem.

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Jinrong Hu, Yingxiang Hu, Bo Yang. 2026-11-02. Capillary $L_p$ dual Minkowski flow. https://arxiv.org/abs/2611.02732

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