[CvGmt News] Seminari di Calcolo delle Variazioni e Analisi Geometrica
magnani at dm.unipi.it
magnani at dm.unipi.it
Fri May 20 08:19:02 CEST 2011
Concentration-compactness principle and shape optimization problems
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Speaker: Bozhidar Velichkov (Universita` di Pisa)
Seminari di Calcolo delle Variazioni e Analisi Geometrica
25 May 2011
Dipartimento di Matematica - Sala Seminari - ore 17:00
ABSTRACT: We expose an existence result for a shape optimization
problem in the Euclidean space. During this seminar we will show that,
given an arbitrary open set A of unitary measure, there exists at least
one quasi-open set which minimizes the rst eigenvalue of the Dirichlet
laplacian among all quasi-open sets, containing A, with a xed positive
Lebesgue measure (greater than one). The proof is based on a
concentration-compactness principle for quasi-open sets which was
introduced by Dorin Bocur as a natural extension of the classical
result due to Lions. The result is joint with Giuseppe Buttazzo and
Dorin Bucur.
You find this news in the cvgmt preprint server: http://cvgmt.sns.it/news/20110525/
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