Optimization of the First Eigenvalue of Equations with Indefinite Weights
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Publication:4920722
DOI10.1515/ans-2013-0105zbMath1410.49055OpenAlexW2509897843MaRDI QIDQ4920722
Giovanni Porru, Fabrizio Cuccu, Chris Cosner
Publication date: 22 May 2013
Published in: Advanced Nonlinear Studies (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ans-2013-0105
Population dynamics (general) (92D25) Eigenvalue problems for linear operators (47A75) Variational methods for eigenvalues of operators (49R05) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)
Related Items (8)
Optimization problems with fixed volume constraints and stability results related to rearrangement classes ⋮ A rearrangement minimization problem related to a nonlinear parametric boundary value problem ⋮ Steiner symmetry in the minimization of the first eigenvalue of a fractional eigenvalue problem with indefinite weight ⋮ Optimal harvesting strategy based on rearrangements of functions ⋮ An optimization problem for nonlinear Steklov eigenvalues with a boundary potential ⋮ Spectral theory for nonlocal dispersal operators with time periodic indefinite weight functions and applications ⋮ Maximal total population of species in a diffusive logistic model ⋮ Optimal location of resources and Steiner symmetry in a population dynamics model in heterogeneous environments
Cites Work
- The effects of spatial heterogeneity in population dynamics
- Extremal eigenvalue problems for composite membranes. I
- Optimal spatial harvesting strategy and symmetry-breaking
- Rearrangements of functions, maximization of convex functionals, and vortex rings
- Variational problems on classes of rearrangements and multiple configurations for steady vortices
- Existence and nonexistence of entire solutions to the logistic differential equation
- Diffusive logistic equations with indefinite weights: population models in disrupted environments
- Maximisation and minimisation on classes of rearrangements
- Unnamed Item
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