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Existence and Regularity Results for...

Velichkov, Bozhidar.

Existence and Regularity Results for Some Shape Optimization Problems

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Existence and Regularity Results for Some Shape Optimization Problems/ by Bozhidar Velichkov.
作者:	Velichkov, Bozhidar.
面頁冊數:	XVI, 349 p.online resource. :
Contained By:	Springer Nature eBook
標題:	Calculus of variations. -
電子資源:	https://doi.org/10.1007/978-88-7642-527-1
ISBN:	9788876425271

Existence and Regularity Results for Some Shape Optimization Problems
Velichkov, Bozhidar.

Existence and Regularity Results for Some Shape Optimization Problems[electronic resource] /by Bozhidar Velichkov. - 1st ed. 2015. - XVI, 349 p.online resource. - Theses (Scuola Normale Superiore),192239-1460 ;. - Theses (Scuola Normale Superiore),19.

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. We investigate the properties of the optimal sets and of the optimal state functions. In particular, we prove that the eigenfunctions are Lipschitz continuous up to the boundary and that the optimal sets subject to the perimeter constraint have regular free boundary. We also consider spectral optimization problems in non-Euclidean settings and optimization problems for potentials and measures, as well as multiphase and optimal partition problems. .

ISBN: 9788876425271

Standard No.: 10.1007/978-88-7642-527-1doiSubjects--Topical Terms:

527927
Calculus of variations.

LC Class. No.: QA315-316

Dewey Class. No.: 515.64

Existence and Regularity Results for Some Shape Optimization Problems
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