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|
|Data di pubblicazione:||2013|
|Tipologia:||1.1 Articolo in rivista|