Spectral optimization problems with internal constraint - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Annales de l'Institut Henri Poincaré C, Analyse non linéaire Année : 2013

Spectral optimization problems with internal constraint

Dorin Bucur
  • Fonction : Auteur
  • PersonId : 860538
Giuseppe Buttazzo
  • Fonction : Auteur
  • PersonId : 839235
Bozhidar Velichkov

Résumé

We consider spectral optimization problems with internal inclusion constraints, of the form min {lambda(k)(Omega): D subset of Omega subset of R-d, vertical bar Omega vertical bar = m}, where the set D is fixed, possibly unbounded, and lambda(k) is the k-th eigenvalue of the Dirichlet Laplacian on Omega. We analyze the existence of a solution and its qualitative properties, and rise some open questions.

Dates et versions

hal-00956615 , version 1 (07-03-2014)

Identifiants

Citer

Dorin Bucur, Giuseppe Buttazzo, Bozhidar Velichkov. Spectral optimization problems with internal constraint. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2013, 30 (3), pp.477-495. ⟨10.1016/j.anihpc.2012.10.002⟩. ⟨hal-00956615⟩
85 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More