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

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dc.creatorFall, Mouhamed Moustapha
dc.creatorMahmoudi, Fethi
dc.date2007-11-14
dc.date.accessioned2026-07-07T08:42:53Z
dc.date.available2026-07-07T08:42:53Z
dc.descriptionGiven 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.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/0711.2146
dc.identifierhttp://arxiv.org/abs/0711.2146
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142125
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.subject53A10, 53C21, 35R35
dc.titleHypersurfaces with free boundary and large constant mean curvature: concentration along submanifolds
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