Monotonicity, asymptotics and level sets for principal eigenvalues of some elliptic operators with shear flow

Boundary value problems for second-order elliptic equations (35J25) Dynamical systems in biology (37N25) Estimates of eigenvalues in context of PDEs (35P15) Shear flows and turbulence (76F10) Eigenvalue problems for linear operators (47A75)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Weak KAM aspects of convex Hamilton-Jacobi equations with Neumann type boundary conditions
The principal eigenvalue of a space-time periodic parabolic operator
Liouville-type results for semilinear elliptic equations in unbounded domains
Neumann type boundary conditions for Hamilton-Jacobi equations
Large amplitude stationary solutions to a chemotaxis system
The evolution of dispersal rates in a heterogeneous time-periodic environment
On the asymptotic behavior of the principal eigenvalues of some elliptic problems
Classifying the level set of principal eigenvalue for time-periodic parabolic operators and applications
Population dynamics under climate change: persistence criterion and effects of fluctuations
On a second order eigenvalue problem and its application
Propagation of KPP equations with advection in one-dimensional almost periodic media and its symmetry
Dispersal-induced growth in a time-periodic environment
On the spectral theory of positive operators and PDE applications
A functional approach towards eigenvalue problems associated with incompressible flow
Speed-up of combustion fronts in shear flows
Elliptic eigenvalue problems with large drift and applications to nonlinear propagation phenomena
Diffusion and mixing in fluid flow
Quenching of reaction by cellular flows
Quenching of combustion by shear flows
Ecological and evolutionary dynamics in periodic and advective habitats
Estimates for the principal spectrum point for certain time-dependent parabolic operators
An Introduction to the Theory of Viscosity Solutions for First-Order Hamilton–Jacobi Equations and Applications
The Effect of the Schwarz Rearrangement on the Periodic Principal Eigenvalue of a Nonsymmetric Operator
Perturbed Dynamical Systems with an Attracting Singularity and Weak Viscosity Limits in Hamilton-Jacobi Equations
Viscosity Solutions of Hamilton-Jacobi Equations
Spatial Ecology via Reaction‐Diffusion Equations
A Survey of partial differential equations methods in weak KAM theory
Hamilton–Jacobi Equations
Monotonicity of the principal eigenvalue for a linear time-periodic parabolic operator
The Harnack Inequality for a Class of Degenerate Elliptic Operators
Generalizations and Properties of the Principal Eigenvalue of Elliptic Operators in Unbounded Domains
Singular Analysis of the Optimizers of the Principal Eigenvalue in Indefinite Weighted Neumann Problems
Introduction to Reaction-Diffusion Equations

This page was built for publication: Monotonicity, asymptotics and level sets for principal eigenvalues of some elliptic operators with shear flow