Robin eigenvalues on domains with peaks

DOI10.1016/j.jde.2019.02.016zbMath1432.35151arXiv1803.09295OpenAlexW2794478395MaRDI QIDQ2415286

Hynek Kovařík, Konstantin Pankrashkin

Publication date: 21 May 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.09295

zbMATH Keywords

asymptotic expansionLaplacianRobin boundary conditionnegative eigenvaluesdomains with peaks

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Variational methods for second-order elliptic equations (35J20) Spectral theory; eigenvalue problems on manifolds (58C40) Variational methods for eigenvalues of operators (49R05)

Related Items

Asymptotics of Robin eigenvalues on sharp infinite cones ⋮ Strong coupling asymptotics for \(\delta \)-interactions supported by curves with cusps ⋮ Asymptotics of Robin eigenvalues for non-isotropic peaks ⋮ Sum of the negative eigenvalues for the semi-classical Robin Laplacian ⋮ Effective operators for Robin eigenvalues in domains with corners ⋮ Plummeting and blinking eigenvalues of the Robin Laplacian in a cuspidal domain

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An effective Hamiltonian for the eigenvalue asymptotics of the Robin Laplacian with a large parameter
• On the \(p\)-Laplacian with Robin boundary conditions and boundary trace theorems
• On the negative spectrum of the Robin Laplacian in corner domains
• Mean curvature bounds and eigenvalues of Robin Laplacians
• Spectral asymptotics for Robin Laplacians on polygonal domains
• A singularly perturbed linear eigenvalue problem in \(C^1\) domains.
• Principal eigenvalues for generalised indefinite Robin problems
• Weyl formulae for the Robin Laplacian in the semiclassical limit
• Curvature-induced bound states in Robin waveguides and their asymptotical properties
• Eigenvalues for the Robin Laplacian in domains with variable curvature
• Eigenvalues of Robin Laplacians in infinite sectors
• 4 The Robin problem
• On the principal eigenvalue of a Robin problem with a large parameter
• On the asymptotics of the principal eigenvalue for a Robin problem with a large parameter in planar domains