On the discrete spectrum of Robin Laplacians in conical domains

Abstract

We discuss several geometric conditions guaranteeing the finiteness or the infiniteness of the discrete spectrum for Robin Laplacians on conical domains.

12 pages

References in corpus (4)

• An effective Hamiltonian for the eigenvalue asymptotics of a Robin Laplacian with a large parameter
• Schrödinger operators with $\delta$-interactions supported on conical surfaces
• Tunneling between corners for Robin Laplacians
• Classification of Convex Ancient Solutions to Curve Shortening Flow on the Sphere

Cited by in corpus (8)

• Eigenvalues of Robin Laplacians in infinite sectors
• Dirichlet spectrum of the Fichera layer
• On the negative spectrum of the Robin Laplacian in corner domains
• Discrete spectrum of interactions concentrated near conical surfaces
• A spectral isoperimetric inequality for cones
• Eigenvalue counting function for Robin Laplacians on conical domains
• Spectral asymptotics for $\delta$-interactions on sharp cones
• Magnetic fields and boundary conditions in spectral and asymptotic analysis