Singularly perturbed spectral problems with Neumann boundary conditions

DOI10.1080/17476933.2015.1076396zbMath1342.35024arXiv1503.06459OpenAlexW2139090300MaRDI QIDQ3467525

A. P. Rybalko, Volodymyr Rybalko, Andrey L. Piatnitski

Publication date: 2 February 2016

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.06459

zbMATH Keywords

Hamilton-Jacobi equationAubry setlogarithmic transformationNeumann spectral problemsingularly perturbed operatorbounded lower order termslimit behaviour of the principal eigenvalue

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Estimates of eigenvalues in context of PDEs (35P15)

Cites Work

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• Weak KAM aspects of convex Hamilton-Jacobi equations with Neumann type boundary conditions
• Principal eigenvalues, topological pressure, and stochastic stability of equilibrium states
• The asymptotic behavior of the principal eigenvalue in a singular perturbation problem with invariant boundaries
• Résolution de problèmes elliptiques quasilineaires
• On the principal eigenvalue in a singular perturbation problem with hyperbolic limit points and circles
• Asymptotic behavior of the ground state of singularly perturbed elliptic equations
• Ground states of singularly perturbed convection-diffusion equation with oscillating coefficients
• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables

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