Non-concavity of the Robin ground state

zbMath1445.35146arXiv1711.02779MaRDI QIDQ1988443

Ben Andrews, Julie Clutterbuck, Daniel Hauer

Publication date: 23 April 2020

Published in: Cambridge Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.02779

zbMATH Keywords

concavityquasiconvexityeigenvalue problemeigenfunctionRobin boundary condition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15) Eigenvalue problems for linear operators (47A75) Second-order elliptic equations (35J15) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items (8)

The Faber-Krahn inequality for the Hermite operator with Robin boundary conditions ⋮ Unnamed Item ⋮ Lieb—Thirring type bounds for perturbed Schrödinger operators with single-well potentials ⋮ Degeneration of the spectral gap with negative Robin parameter ⋮ Spectral gaps of 1-D Robin Schrödinger operators with single-well potentials ⋮ First Robin eigenvalue of the \(p\)-Laplacian on Riemannian manifolds ⋮ The Robin Laplacian—Spectral conjectures, rectangular theorems ⋮ The fundamental gap for a one-dimensional Schrödinger operator with Robin boundary conditions

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