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research
Hypersurfaces with free boundary and large constant mean curvature: concentration along submanifolds
Authors
Mouhamed Moustapha Fall
Fethi Mahmoudi
Publication date
14 November 2007
Publisher
View
on
arXiv
Abstract
Given a domain
Ω
\Omega
Ω
of
R
m
+
1
\mathbb{R}^{m+1}
R
m
+
1
and a
k
k
k
-dimensional non-degenerate minimal submanifold
K
K
K
of
\pa \Omega
with
1
≤
k
≤
m
−
1
1\le k\le m-1
1
≤
k
≤
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
K
K
and intersecting
∂
Ω
\partial \Omega
∂
Ω
perpendicularly.Comment: 28 page
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Numérisation de Documents Anciens Mathématiques
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Last time updated on 16/06/2016