Boundedness of minimizers for spectral problems in R^N

Dario Cesare Severo Mazzoleni

doi:10.4171/RSMUP/135-12

Boundedness of minimizers for spectral problems in R^N

Dario Cesare Severo Mazzoleni

Università Cattolica del Sacro Cuore

Risultato della ricerca: Contributo in rivista › Articolo › peer review

1 Citazioni (Scopus)

Abstract

In [8] it was proved that any increasing functional of the first k eigenvalues of the Dirichlet Laplacian admits a (quasi-)open minimizer among the subsets of R^N of unit measure. In this paper we show that every minimizer is uniformly bounded by a constant depending only on k, N.

Lingua originale	Inglese
pagine (da-a)	207-221
Numero di pagine	15
Rivista	RENDICONTI DEL SEMINARIO MATEMATICO DELL'UNIVERSITA' DI PADOVA
DOI	https://doi.org/10.4171/RSMUP/135-12
Stato di pubblicazione	Pubblicato - 2016

Keywords

Algebra and Number Theory
Analysis
Dirichlet Laplacian
Eigenvalues
Geometry and Topology
Mathematical Physics
Shape optimization
Spectral problems

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10.4171/RSMUP/135-12

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abstract = "In [8] it was proved that any increasing functional of the first k eigenvalues of the Dirichlet Laplacian admits a (quasi-)open minimizer among the subsets of R\textasciicircum{}N of unit measure. In this paper we show that every minimizer is uniformly bounded by a constant depending only on k, N.",

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

year = "2016",

doi = "10.4171/RSMUP/135-12",

language = "English",

pages = "207--221",

journal = "RENDICONTI DEL SEMINARIO MATEMATICO DELL'UNIVERSITA' DI PADOVA",

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KW - Shape optimization

KW - Spectral problems

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KW - Analysis

KW - Dirichlet Laplacian

KW - Eigenvalues

KW - Geometry and Topology

KW - Mathematical Physics

KW - Shape optimization

KW - Spectral problems

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ER -

Boundedness of minimizers for spectral problems in R^N

Abstract

Keywords

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