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arXiv · 0711.2146

Hypersurfaces with free boundary and large constant mean curvature: concentration along submanifolds

Mouhamed Moustapha Fall·Fethi Mahmoudi
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Abstract

Given a domain $Ω$ of $\mathbb{R}^{m+1}$ and a $k$-dimensional non-degenerate minimal submanifold $K$ of $\pa Ω$ with $1\le k\le m-1$, we prove the existence of a family of embedded constant mean curvature hypersurfaces which as their mean curvature tends to infinity concentrate along $K$ and intersecting $\partial Ω$ perpendicularly.

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Mouhamed Moustapha Fall, Fethi Mahmoudi. 2007-11-14. Hypersurfaces with free boundary and large constant mean curvature: concentration along submanifolds. https://arxiv.org/abs/0711.2146

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