The Lowest Eigenvalue of Schrödinger Operators on Compact Manifolds
Author:
Funder
National Science Foundation
Publisher
Springer Science and Business Media LLC
Subject
Analysis
Link
http://link.springer.com/content/pdf/10.1007/s11118-018-9698-2.pdf
Reference14 articles.
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2. Cwikel, M.: Weak type estimates for singular values and the number of bound states of Schrödinger operators. Ann. Math. (2) 106(1), 93–100 (1977). MR 0473576 (57 #13242)
3. Dolbeault, J., Esteban, M.J., Laptev, A., Loss, M.: Spectral properties of Schrödinger operators on compact manifolds: rigidity, flows, interpolation and spectral estimates. C. R. Math. Acad. Sci. Paris 351(11–12), 437–440 (2013)
4. Grigor’yan, A., Nadirashvili, N., Sire, Y.: A lower bound for the number of negative eigenvalues of Schrödinger operators. J. Differ. Geom. 102(3), 395–408 (2016)
5. Grigor’yan, A., Netrusov, Y., Yau, S.-T.: Eigenvalues of elliptic operators and geometric applications. In: Surveys in Differential Geometry, vol. IX, Surv. Differ. Geom., IX, pp. 147–217. International Press, Somerville (2004)
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1. Some Aspects of Theory of Schrödinger Operators on Riemannian Manifold;Communications in Mathematics and Applications;2022-12-30
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