Mathematics Seminar on Wednesday, 22 February

[math]

MATHEMATICS SEMINARS - 2012

Wednesday, 22 February, at 14:30 hrs

Dr. Fethi Mahmoudi
(Faculty of Sciences of Tunis)

"Existence of hypersurfaces with large constant mean curvature and free 
boundaries"

Abstract:  Given a domain $\Omega$ of $\mathbb R^{m+1}$ and a 
k-dimensional non-degenerate minimal submanifold $K$ of $\partial\Omega$ 
with $1 ≤ k ≤ m − 1$, we prove the existence of a family of embedded 
constant mean curvature hypersurfaces in $\Omega$ which as
their mean curvature tends to infinity concentrate along $K$ and 
intersecting $\partial\Omega$ at a constant angle $\gamma$ along their 
boundaries.

Joint work with M.M. Fall (Goethe-Universit\"at Frankfurt, Institut 
f\"ur Mathematik, Germany.)


Venue: Luigi Stasi Seminar Room, ICTP Leonardo Building, first floor.