Optimization of the First Eigenvalue of Equations with Indefinite Weights

Autor:	Fabrizio Cuccu, Chris Cosner, Giovanni Porru
Rok vydání:	2013
Předmět:	010101 applied mathematics Inverse iteration General Mathematics 010102 general mathematics Applied mathematics Statistical and Nonlinear Physics 0101 mathematics Divide-and-conquer eigenvalue algorithm 01 natural sciences Eigenvalues and eigenvectors Mathematics
Zdroj:	Advanced Nonlinear Studies. 13:79-95
ISSN:	2169-0375 1536-1365
DOI:	10.1515/ans-2013-0105
Popis:	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.
Databáze:	OpenAIRE
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