On the principal eigenvalue of elliptic operators in \(\mathbb R^N\) and applications
From MaRDI portal
Publication:2502549
DOI10.4171/JEMS/47zbMath1105.35061OpenAlexW2087139082WikidataQ60498227 ScholiaQ60498227MaRDI QIDQ2502549
Publication date: 13 September 2006
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/jems/47
Estimates of eigenvalues in context of PDEs (35P15) Nonlinear elliptic equations (35J60) General theory of partial differential operators (47F05)
Related Items (38)
Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations ⋮ Persistence criteria for populations with non-local dispersion ⋮ Harnack inequality and principal eigentheory for general infinity Laplacian operators with gradient in \(\mathbb{R}^N\) and applications ⋮ Positive steady states of reaction-diffusion-advection competition models in periodic environment ⋮ Nonlocal dispersal equations in time-periodic media: principal spectral theory, limiting properties and long-time dynamics ⋮ On the definition and the properties of the principal eigenvalue of some nonlocal operators ⋮ Propagation dynamics of a reaction-diffusion equation in a time-periodic shifting environment ⋮ Eigenfunctions for singular fully nonlinear equations in unbounded domains ⋮ Forced waves of the Fisher-KPP equation in a shifting environment ⋮ Asymptotic spreading for Fisher-KPP reaction-diffusion equations with heterogeneous shifting diffusivity ⋮ On the generalized principal eigenvalue of quasilinear operator: definitions and qualitative properties ⋮ Long-time behavior of a reaction-diffusion model with strong Allee effect and free boundary: effect of protection zone ⋮ Dynamical behavior of solutions of a reaction-diffusion-advection model with a free boundary ⋮ On positive periodic solutions of the time-space periodic Lotka-Volterra cooperating system in multi-dimensional media ⋮ Non-cooperative Fisher–KPP systems: traveling waves and long-time behavior ⋮ Harnack type inequality for positive solution of some integral equation ⋮ The role of protection zone on species spreading governed by a reaction-diffusion model with strong Allee effect ⋮ Strict monotonicity of principal eigenvalues of elliptic operators in \(\mathbb R^d\) and risk-sensitive control ⋮ Nonlocal refuge model with a partial control ⋮ Persistence and Propagation of a PDE and Discrete-Time Map Hybrid Animal Movement Model With Habitat Shift Driven by Climate Change ⋮ Can a population survive in a shifting environment using non-local dispersion? ⋮ Existence, uniqueness and qualitative properties of positive solutions of quasilinear elliptic equations ⋮ On generalized principal eigenvalues of nonlocal operators with a drift ⋮ A Liouville-type theorem for Schrödinger operators ⋮ Concentration phenomenon in some non-local equation ⋮ Travelling Waves in a Nonlocal Reaction-Diffusion Equation as a Model for a Population Structured by a Space Variable and a Phenotypic Trait ⋮ Existence and uniqueness of the solution of a space-time periodic reaction-diffusion equation ⋮ Asymptotic spreading in heterogeneous diffusive excitable media ⋮ A Variational Formula for Risk-Sensitive Control of Diffusions in $\mathbb{R}^d$ ⋮ Effects of diffusion and advection on the principal eigenvalue of a periodic-parabolic problem with applications ⋮ Spreading speeds of KPP-type lattice systems in heterogeneous media ⋮ Generalized principal eigenvalues for heterogeneous road–field systems ⋮ Liouville type result and long time behavior for Fisher-KPP equation with sign-changing and decaying potentials ⋮ Can Pathogen Spread Keep Pace with its Host Invasion? ⋮ Threshold phenomenon and traveling waves for heterogeneous integral equations and epidemic models ⋮ Generalized principal eigenvalues of convex nonlinear elliptic operators in \(\mathbb{R}^N\) ⋮ Generalizations and Properties of the Principal Eigenvalue of Elliptic Operators in Unbounded Domains ⋮ Spreading speeds for one-dimensional monostable reaction-diffusion equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Liouville-type results for semilinear elliptic equations in unbounded domains
- Le nombre de solutions de certains problèmes semi-linéaires elliptiques
- On the construction and support properties of measure-valued diffusions on \(D\subseteq \mathbb{R}^d\) with spatially dependent branching
- Harnack's inequality for elliptic equations and the Hölder property of their solutions
- Local extinction versus local exponential growth for spatial branching processes.
- Second order elliptic operators with periodic coefficients: Criticality theory, perturbations, and positive harmonic functions
- Transience, recurrence and local extinction properties of the support for supercritical finite measure-valued diffusions
- Analysis of the periodically fragmented environment model. I: Species persistence
- Analysis of the periodically fragmented environment model. II: Biological invasions and pulsating travelling fronts
- Long-Term Risk: An Operator Approach
- A CERTAIN PROPERTY OF SOLUTIONS OF PARABOLIC EQUATIONS WITH MEASURABLE COEFFICIENTS
- The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
- On a Liouville-type theorem for linear and nonlinear elliptic differential equations on a torus
- A NEW APPROACH TO ALMOST PERIODICITY
- Integral representations and Liouville theorems for solutions of periodic elliptic equations
This page was built for publication: On the principal eigenvalue of elliptic operators in \(\mathbb R^N\) and applications