Optimization of the first eigenvalue of equations with indefinite weights

Chris Cosner; Fabrizio Cuccu; Giovanni Porru

doi:10.1515/ans-2013-0105

Optimization of the first eigenvalue of equations with indefinite weights

Chris Cosner, Fabrizio Cuccu, Giovanni Porru

Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We investigate minimization and maximization of the principal eigenvalue of the Laplacian under Dirichlet boundary conditions in case the weight has indefinite sign and varies in a class of rearrangements. Biologically, such optimization problems are motivated by the question of determining the most convenient spatial arrangement of favorable and unfavorable resources for a species to survive or to decline. The question may have practical importance in the context of reserve design or pest control.

Original language	English (US)
Pages (from-to)	79-95
Number of pages	17
Journal	Advanced Nonlinear Studies
Volume	13
Issue number	1
DOIs	https://doi.org/10.1515/ans-2013-0105
State	Published - Feb 2013

Keywords

Eigenvalue problems
Optimization
Population dynamics
Rearrangements
Spatial heterogeneity

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematics(all)

Access to Document

10.1515/ans-2013-0105

Fingerprint Dive into the research topics of 'Optimization of the first eigenvalue of equations with indefinite weights'. Together they form a unique fingerprint.

Cite this

@article{3ae4982fb20e4958b0aeebf6956f0c36,

title = "Optimization of the first eigenvalue of equations with indefinite weights",

abstract = "We investigate minimization and maximization of the principal eigenvalue of the Laplacian under Dirichlet boundary conditions in case the weight has indefinite sign and varies in a class of rearrangements. Biologically, such optimization problems are motivated by the question of determining the most convenient spatial arrangement of favorable and unfavorable resources for a species to survive or to decline. The question may have practical importance in the context of reserve design or pest control.",

keywords = "Eigenvalue problems, Optimization, Population dynamics, Rearrangements, Spatial heterogeneity",

author = "Chris Cosner and Fabrizio Cuccu and Giovanni Porru",

year = "2013",

month = feb,

doi = "10.1515/ans-2013-0105",

language = "English (US)",

volume = "13",

pages = "79--95",

journal = "Advanced Nonlinear Studies",

issn = "1536-1365",

publisher = "Advanced Nonlinear Studies",

number = "1",

}

TY - JOUR

T1 - Optimization of the first eigenvalue of equations with indefinite weights

AU - Cosner, Chris

AU - Cuccu, Fabrizio

AU - Porru, Giovanni

PY - 2013/2

Y1 - 2013/2

N2 - We investigate minimization and maximization of the principal eigenvalue of the Laplacian under Dirichlet boundary conditions in case the weight has indefinite sign and varies in a class of rearrangements. Biologically, such optimization problems are motivated by the question of determining the most convenient spatial arrangement of favorable and unfavorable resources for a species to survive or to decline. The question may have practical importance in the context of reserve design or pest control.

AB - We investigate minimization and maximization of the principal eigenvalue of the Laplacian under Dirichlet boundary conditions in case the weight has indefinite sign and varies in a class of rearrangements. Biologically, such optimization problems are motivated by the question of determining the most convenient spatial arrangement of favorable and unfavorable resources for a species to survive or to decline. The question may have practical importance in the context of reserve design or pest control.

KW - Eigenvalue problems

KW - Optimization

KW - Population dynamics

KW - Rearrangements

KW - Spatial heterogeneity

UR - http://www.scopus.com/inward/record.url?scp=84884638903&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84884638903&partnerID=8YFLogxK

U2 - 10.1515/ans-2013-0105

DO - 10.1515/ans-2013-0105

M3 - Article

AN - SCOPUS:84884638903

VL - 13

SP - 79

EP - 95

JO - Advanced Nonlinear Studies

JF - Advanced Nonlinear Studies

SN - 1536-1365

IS - 1

ER -