Open Access
March 2016 A lower bound for the number of negative eigenvalues of Schrödinger operators
Alexander Grigor’yan, Nikolai Nadirashvili, Yannick Sire
J. Differential Geom. 102(3): 395-408 (March 2016). DOI: 10.4310/jdg/1456754014

Abstract

We prove a lower bound for the number of negative eigenvalues for a Schrödinger operator on a Riemannian manifold via the integral of the potential.

Citation

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Alexander Grigor’yan. Nikolai Nadirashvili. Yannick Sire. "A lower bound for the number of negative eigenvalues of Schrödinger operators." J. Differential Geom. 102 (3) 395 - 408, March 2016. https://doi.org/10.4310/jdg/1456754014

Information

Published: March 2016
First available in Project Euclid: 29 February 2016

zbMATH: 1356.53044
MathSciNet: MR3466803
Digital Object Identifier: 10.4310/jdg/1456754014

Rights: Copyright © 2016 Lehigh University

Vol.102 • No. 3 • March 2016
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