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Item Details
Title: EXISTENCE AND REGULARITY RESULTS FOR SOME SHAPE OPTIMIZATION PROBLEMS
By: Bozhidar Velichkov
Format: Paperback

List price: £16.99
Our price: £14.87
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ISBN 10: 8876425268
ISBN 13: 9788876425264
Availability: Usually dispatched within 1-3 weeks.
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Publisher: BIRKHAUSER VERLAG AG
Pub. date: 9 April, 2015
Series: Publications of the Scuola Normale Superiore 19
Pages: 349
Synopsis: We study the existence and regularity of optimal domains for functionals depending on the spectrum of the Dirichlet Laplacian or of more general Schrodinger 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.
Illustrations: biography
Publication: Italy
Imprint: Scuola Normale Superiore
Returns: Returnable
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