Geometric relative Hardy inequalities and the discrete spectrum of Schrödinger operators on manifolds
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
Link
http://link.springer.com/content/pdf/10.1007/s00526-012-0542-z.pdf
Reference25 articles.
1. Andersson L.: Elliptic systems on manifolds with asymptotically negative curvature. Indiana Univ. Math. J. 42, 1359–1388 (1993)
2. Bando S., Kasue A., Nakajima H.: On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth. Invent. Math. 97, 313–349 (1989)
3. Barta J.: Sur la vibration fondamental d’une menbrane. Comptes rendus Acad. Sci. Paris 204, 472–473 (1937)
4. Carron G.: Inégalités de Hardy sur les variétés riemanniennes non-compactes. J. Math. Pures Appl. 76(9), 883–891 (1997)
5. Chavel, I.: Eigenvalues in Riemannian Geometry, Pure and Applied Mathamatics. Academic Press, New York (1984)
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