New Estimates for the Bottom of the Spectrum of Schrödinger Operators |
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| Authors: | Daniel Levin |
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| Affiliation: | (1) Department of Mathematics, Technion – Israel Institute of Technology, Haifa, 32000, Israel;(2) Present address: Mathematical Institute, University of Oxford, 24-29 St. Giles, Oxford, OX1 3LB, United Kingdom |
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| Abstract: | We obtain a bound for the bottom of the negative spectrum of Schrödinger operators on weighted Riemannian manifolds in terms of F-Sobolev inequalities. Also, we show how an estimate for the first negative eigenvalue implies the F-Sobolev inequality. |
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| Keywords: | bottom of spectrum F-Sobolev inequality Schr?dinger operator |
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