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Existence and Regularity Results for Some Shape Optimization Problems
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Pages: 362
Authors: Bozhidar Velichkov
Categories: Mathematics
Type: BOOK - Published: 2015-03-21 - Publisher: Springer

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​We study the existence and regularity of optimal domains for functionals depending on the spectrum of the Dirichlet Laplacian or of more general Schrödinger
Shape Optimization and Spectral Theory
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Authors: Antoine Henrot
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Type: BOOK - Published: 2017-05-08 - Publisher: De Gruyter Open

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"Shape optimization and spectral theory" is a survey book aiming to give an overview of recent results in spectral geometry and its links with shape optimizatio
Variational Methods in Shape Optimization Problems
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Pages: 218
Authors: Dorin Bucur
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Type: BOOK - Published: 2006-09-13 - Publisher: Springer Science & Business Media

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Shape optimization problems are treated from the classical and modern perspectives Targets a broad audience of graduate students in pure and applied mathematics
Recent Advances in Partial Differential Equations and Applications
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Authors: Vicenţiu D. Rădulescu
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Type: BOOK - Published: 2016-06-28 - Publisher: American Mathematical Soc.

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This volume contains the proceedings of the International Conference on Recent Advances in PDEs and Applications, in honor of Hugo Beirão da Veiga's 70th birth
Trends in PDE Constrained Optimization
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Authors: Günter Leugering
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Type: BOOK - Published: 2014-12-22 - Publisher: Springer

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Optimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context of industr