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.
Titolo: | Optimization of the first eigenvalue of equations with indefinite weights |
Autori: | |
Data di pubblicazione: | 2013 |
Rivista: | |
Handle: | http://hdl.handle.net/11584/102264 |
Tipologia: | 1.1 Articolo in rivista |
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