A lower bound for the number of negative eigenvalues on a Euclidean space and on a complete Riemannian manifold-Reference-Cited by-同舟云学术

A lower bound for the number of negative eigenvalues on a Euclidean space and on a complete Riemannian manifold

Published:2014-07-27 Issue:4 Volume:5 Page:481-490
ISSN:1662-9981
Container-title:Journal of Pseudo-Differential Operators and Applications
language:en
Short-container-title:J. Pseudo-Differ. Oper. Appl.

Author:

El Aïdi Mohammed

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s11868-014-0098-0.pdf

Reference20 articles.

1. El Aïdi, M.: Sur le nombre des valeurs propres négatives d’un opérateur elliptique. Bull. Sci. math. 137, 434–456 (2013)

2. El Aïdi, M.: Un majorant du nombre des valeurs propres négatives correspondantes à l’opérateur de Schrödinger généralisé. Annales mathématiques Blaise Pascal 19, 197–211 (2012)

3. Maz’ya, V.G.: Sobolev space with Applications to Elliptic Partial Differential Equations. Grundlehren der mathematischen Wissenschaften, Vol. 342, 2nd augmented Edition (2011)

4. Verbitsky, I.: Nonlinear potentials and trace inequalities, The Maz’ya anniversary collection, Vol. 2 (Rostock, 1998). Oper. Theory Adv. Appl. 110: 323–343 (1999)

5. Egorov, Y., El Aïdi, M.: Spectre négatif d’un opérateur elliptique avec des conditions au bords de Robin. Publ. Mat. 45, 125–148 (2001)

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1. On the Riesz-means of negative eigenvalues for a fractional Schrödinger operator;Integral Transforms and Special Functions;2016-10-21

2. An explicit upper bound of the number of negative eigenvalues associated to an elliptic operator;Journal of Pseudo-Differential Operators and Applications;2015-05-28