SHARP SPECTRAL ESTIMATES IN DOMAINS OF INFINITE VOLUME

DOI10.1142/S0129055X11004394zbMath1219.35156arXiv1012.5972OpenAlexW2170638047MaRDI QIDQ3087527

Leander Geisinger, Timo Weidl

Publication date: 16 August 2011

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.5972

zbMATH Keywords

Dirichlet LaplacianLieb-Thirring inequalityBerezin-Li-Yau inequalitydomains of infinite volumeHorn-shaped regions

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Eigenvalue problems for linear operators (47A75)

Related Items (6)

Spectral estimates for Dirichlet Laplacians and Schrödinger operators on geometrically nontrivial cusps ⋮ Spectral estimates for the Dirichlet Laplacian on spiral-shaped regions ⋮ Waveguides with asymptotically diverging twisting ⋮ Semiclassical bounds in magnetic bottles ⋮ Schrödinger Operators with a Switching Effect ⋮ Compactness of embeddings of function spaces on quasi-bounded domains and the distribution of eigenvalues of related elliptic operators. II.

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