Optimal eigenvalue estimates for the Robin Laplacian on Riemannian manifolds

DOI10.1016/j.jde.2019.09.013zbMath1430.58023arXiv1904.07525OpenAlexW2975943113WikidataQ127205055 ScholiaQ127205055MaRDI QIDQ2285474

Alessandro Savo

Publication date: 8 January 2020

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

Full work available at URL: https://arxiv.org/abs/1904.07525

zbMATH Keywords

eigenvalue estimatesdomain monotonicityLaplacian with Robin boundary conditionsMcKean inequality

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Boundary value problems on manifolds (58J32)

Related Items (9)

Synchronization of Turing patterns in complex networks of reaction–diffusion systems set in distinct domains ⋮ Sharp estimates for the first Robin eigenvalue of nonlinear elliptic operators ⋮ New eigenvalue estimates involving Bessel functions ⋮ Faber–Krahn inequalities for Schrödinger operators with point and with Coulomb interactions ⋮ Non-existence of patterns and gradient estimates in semilinear elliptic equations with Neumann boundary conditions ⋮ Effective operators for Robin eigenvalues in domains with corners ⋮ First Robin eigenvalue of the \(p\)-Laplacian on Riemannian manifolds ⋮ The Robin Laplacian—Spectral conjectures, rectangular theorems ⋮ Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones

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