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

Risultato della ricerca: Contributo in libro › Chapter

1 Citazioni (Scopus)

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.

Lingua originale	English
Titolo della pubblicazione ospite	NEW TRENDS IN SHAPE OPTIMIZATION
Editor	Gunter Leugering Aldo Pratelli
Pagine	199-215
Numero di pagine	17
DOI	https://doi.org/10.1007/978-3-319-17563-8_8
Stato di pubblicazione	Pubblicato - 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",

isbn = "9783319175621",

pages = "199--215",

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

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T1 - Recent Existence Results for Spectral Problems

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

U2 - 10.1007/978-3-319-17563-8_8

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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