Minimising convex combinations of low eigenvalues

Mette Iversen; Dario Cesare Severo Mazzoleni

doi:10.1051/cocv/2013070

Minimising convex combinations of low eigenvalues

Mette Iversen, Dario Cesare Severo Mazzoleni

Università Cattolica del Sacro Cuore

University of Bristol

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

6 Citazioni (Scopus)

Abstract

We consider the minimisation of convex combinations of the first three eigenvalues of the Dirichlet Laplacian among sets of fixed measure. We investigate for which cases every minimiser is connected.

Lingua originale	English
pagine (da-a)	442-459
Numero di pagine	18
Rivista	ESAIM. COCV
Volume	20
DOI	https://doi.org/10.1051/cocv/2013070
Stato di pubblicazione	Pubblicato - 2014

Keywords

Computational Mathematics
Control and Optimization
Control and Systems Engineering
Dirichlet-Laplacian
Eigenvalues
Shape Optimization

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10.1051/cocv/2013070

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KW - Computational Mathematics

KW - Control and Optimization

KW - Control and Systems Engineering

KW - Dirichlet-Laplacian

KW - Eigenvalues

KW - Shape Optimization

KW - Computational Mathematics

KW - Control and Optimization

KW - Control and Systems Engineering

KW - Dirichlet-Laplacian

KW - Eigenvalues

KW - Shape Optimization

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JO - ESAIM. COCV

JF - ESAIM. COCV

ER -

Minimising convex combinations of low eigenvalues

Abstract

Keywords

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