Recent Existence Results for Spectral Problems

Dario Cesare Severo Mazzoleni

doi:10.1007/978-3-319-17563-8_8

Recent Existence Results for Spectral Problems

Dario Cesare Severo Mazzoleni

Università Cattolica del Sacro Cuore

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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Abstract

In this survey we present the new techniques developed for proving existence of optimal sets when one minimizes functionals depending on the eigenvalues of the Dirichlet Laplacian with a measure constraint.

Original language	English
Title of host publication	NEW TRENDS IN SHAPE OPTIMIZATION
Editors	Gunter Leugering Aldo Pratelli
Pages	199-215
Number of pages	17
DOIs	https://doi.org/10.1007/978-3-319-17563-8_8
Publication status	Published - 2015

Keywords

Shape optimization, eigenvalues, Dirichlet Laplacian

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10.1007/978-3-319-17563-8_8

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title = "Recent Existence Results for Spectral Problems",

abstract = "In this survey we present the new techniques developed for proving existence of optimal sets when one minimizes functionals depending on the eigenvalues of the Dirichlet Laplacian with a measure constraint.",

keywords = "Shape optimization, eigenvalues, Dirichlet Laplacian, Shape optimization, eigenvalues, Dirichlet Laplacian",

author = "Mazzoleni, \{Dario Cesare Severo\}",

year = "2015",

doi = "10.1007/978-3-319-17563-8\_8",

language = "English",

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pages = "199--215",

editor = "\{Aldo Pratelli\}, \{Gunter Leugering\}",

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AU - Mazzoleni, Dario Cesare Severo

PY - 2015

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N2 - In this survey we present the new techniques developed for proving existence of optimal sets when one minimizes functionals depending on the eigenvalues of the Dirichlet Laplacian with a measure constraint.

AB - In this survey we present the new techniques developed for proving existence of optimal sets when one minimizes functionals depending on the eigenvalues of the Dirichlet Laplacian with a measure constraint.

KW - Shape optimization, eigenvalues, Dirichlet Laplacian

UR - http://hdl.handle.net/10807/118953

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DO - 10.1007/978-3-319-17563-8_8

M3 - Chapter

SN - 9783319175621

SP - 199

EP - 215

BT - NEW TRENDS IN SHAPE OPTIMIZATION

A2 - Aldo Pratelli, Gunter Leugering

ER -

Recent Existence Results for Spectral Problems

Abstract

Keywords

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