[CvGmt News] Seminari di Calcolo delle Variazioni e Analisi Geometrica

[magnani at dm.unipi.it]

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/