Second eigenvalue of Schrödinger operators and mean curvature

DOI10.1007/s002200050009zbMath0955.58025OpenAlexW1973606455MaRDI QIDQ1581676

Ahmad El Soufi, Said Ilias

Publication date: 8 October 2000

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

Full work available at URL: https://doi.org/10.1007/s002200050009

zbMATH Keywords

stabilitysphereEuclidean spacehyperbolic spacesecond eigenvaluesharp upper boundAlikakos-Fusco conjectureAllen-Cahn reaction diffusion modelcompact immersed submanifold

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Schrödinger operator, Schrödinger equation (35J10)

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