Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity

Michiel van den Berg; Giuseppe  Buttazzo; Bozhidar Velichkov

doi:10.1007/978-3-319-17563-8_2

Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity

Michiel van den Berg, Giuseppe Buttazzo, Bozhidar Velichkov

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

19 Citations (Scopus)

333 Downloads (Pure)

Abstract

We present some open problems and obtain some partial results for spectral optimization problems involving measure, torsional rigidity and first Dirichlet eigenvalue.

Original language	English
Title of host publication	New Trends in Shape Optimization
Editors	Aldo Pratelli, Guenter Leugering
Publisher	Springer
Pages	19-41
Number of pages	23
ISBN (Electronic)	9783319175638
ISBN (Print)	9783319175621
DOIs	https://doi.org/10.1007/978-3-319-17563-8_2
Publication status	Published - 18 Nov 2015

Publication series

Name	International Series of Numerical Mathematics
Publisher	Springer
Volume	166
ISSN (Print)	0373-3149
ISSN (Electronic)	2296-6072

Keywords

Torsional rigidity
Dirichlet eigenvalues
Spectral optimization

Access to Document

10.1007/978-3-319-17563-8_2

ErlangenBirkhAccepted author manuscript, 425 KB

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Emeritus Professor Michiel van den Berg
- M.vandenBergbristol.acuk
- School of Mathematics - Emeritus Professor
- Probability, Analysis and Dynamics
- Pure Mathematics
- Analysis
Person: Member, Honorary and Visiting Academic

Cite this

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title = "Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity",

abstract = "We present some open problems and obtain some partial results for spectral optimization problems involving measure, torsional rigidity and first Dirichlet eigenvalue.",

keywords = "Torsional rigidity, Dirichlet eigenvalues, Spectral optimization",

author = "\{van den Berg\}, Michiel and Giuseppe Buttazzo and Bozhidar Velichkov",

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Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity. / van den Berg, Michiel; Buttazzo, Giuseppe ; Velichkov, Bozhidar.
New Trends in Shape Optimization. ed. / Aldo Pratelli; Guenter Leugering. Springer, 2015. p. 19-41 (International Series of Numerical Mathematics; Vol. 166).

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

TY - CHAP

T1 - Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity

AU - van den Berg, Michiel

AU - Buttazzo, Giuseppe

AU - Velichkov, Bozhidar

PY - 2015/11/18

Y1 - 2015/11/18

N2 - We present some open problems and obtain some partial results for spectral optimization problems involving measure, torsional rigidity and first Dirichlet eigenvalue.

AB - We present some open problems and obtain some partial results for spectral optimization problems involving measure, torsional rigidity and first Dirichlet eigenvalue.

KW - Torsional rigidity

KW - Dirichlet eigenvalues

KW - Spectral optimization

U2 - 10.1007/978-3-319-17563-8_2

DO - 10.1007/978-3-319-17563-8_2

M3 - Chapter in a book

SN - 9783319175621

T3 - International Series of Numerical Mathematics

SP - 19

EP - 41

BT - New Trends in Shape Optimization

A2 - Pratelli, Aldo

A2 - Leugering, Guenter

PB - Springer

ER -

Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity

Abstract

Publication series

Keywords

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Emeritus Professor Michiel van den Berg

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