Asymptotic properties of an optimal principal Dirichlet eigenvalue arising in population dynamics

Estimates of eigenvalues in context of PDEs (35P15) Population dynamics (general) (92D25) Optimization of shapes other than minimal surfaces (49Q10) Variational methods for eigenvalues of operators (49R05)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Persistence criteria for populations with non-local dispersion
Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions
On the shape sensitivity of the first Dirichlet eigenvalue for two-phase problems
On the shape of liquid drops and crystals in the small mass regime
Weak uniqueness and partial regularity for the composite membrane problem
Variational problems with concentration
Locating the peaks of least-energy solutions to a semilinear Neumann problem
Best dispersal strategies in spatially heterogeneous environments: optimization of the principal eigenvalue for indefinite fractional Neumann problems
The sharp quantitative isocapacitary inequality
Asymptotic properties of an optimal principal eigenvalue with spherical weight and Dirichlet boundary conditions
Quantitative inequality for the eigenvalue of a Schrödinger operator in the ball
Asymptotic spherical shapes in some spectral optimization problems
Faber-Krahn inequalities in sharp quantitative form
Stability in shape optimization with second variation
Variation and optimization of formes. A geometric analysis
Analysis of the periodically fragmented environment model. I: Species persistence
Regularity for $C^{1, \alpha}$ interface transmission problems
A Simple Proof of Regularity for $C^{1,\alpha}$ Interface Transmission Problems
Diffusive logistic equations with indefinite weights: population models in disrupted environments
On the shape of least‐energy solutions to a semilinear Neumann problem
Spatial Ecology via Reaction‐Diffusion Equations
About stability of equilibrium shapes
Spike-layered solutions of singularly perturbed elliptic problems in a degenerate setting
Stability in the Isoperimetric Problem for Convex or Nearly Spherical Domains in R n
On the location and profile of spike‐layer solutions to singularly perturbed semilinear dirichlet problems
RANDOM DISPERSAL IN THEORETICAL POPULATIONS
Symmetry breaking and other phenomena in the optimization of eigenvalues for composite membranes
Spectral optimization for weighted anisotropic problems with Robin conditions
(Non)local logistic equations with Neumann conditions
Singular Analysis of the Optimizers of the Principal Eigenvalue in Indefinite Weighted Neumann Problems

This page was built for publication: Asymptotic properties of an optimal principal Dirichlet eigenvalue arising in population dynamics