Optimization of the first eigenvalue of equations with indefinite weights

Chris Cosner, Fabrizio Cuccu, Giovanni Porru

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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 languageEnglish (US)
Pages (from-to)79-95
Number of pages17
JournalAdvanced Nonlinear Studies
Issue number1
StatePublished - Feb 2013


  • Eigenvalue problems
  • Optimization
  • Population dynamics
  • Rearrangements
  • Spatial heterogeneity

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematics(all)


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