Existence and Regularity Results for Some Shape Optimization Problems

• Κύριος συγγραφέας: Velichkov, Bozhidar (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale, 2015.
• Σειρά: Publications of the Scuola Normale Superiore ; 19
• Θέματα: Mathematics.; Calculus of variations.; Calculus of Variations and Optimal Control; Optimization.

We study the existence and regularity of optimal domains for functionals depending on the spectrum of the Dirichlet Laplacian or of more general Schrödinger operators. The domains are subject to perimeter and volume constraints; we also take into account the possible presence of geometric obstacles....