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 |
| State | Published - Feb 1 2013 |
Keywords
- Eigenvalue problems
- Optimization
- Population dynamics
- Rearrangements
- Spatial heterogeneity
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematics(all)
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Cosner, C., Cuccu, F., & Porru, G. (2013). Optimization of the first eigenvalue of equations with indefinite weights. Advanced Nonlinear Studies, 13(1), 79-95.