An upper bound on the number of negative eigenvalues

Mohammed El Aïdi[1]

  • [1] Departamento de Matemáticas Universidad Nacional de Colombia. Avenida Carrera 30, numéro 45-03. Bogotá, D.C. Colombia.

Annales mathématiques Blaise Pascal (2012)

  • Volume: 19, Issue: 1, page 197-211
  • ISSN: 1259-1734

Abstract

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This paper is devoted to give an upper bound of the number of negative eigenvalues of the generalized Schrödinger operator, and this upper bound is given in terms of a finite number of minimal dyadic cubes.

How to cite

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El Aïdi, Mohammed. "Un majorant du nombre des valeurs propres négatives correspondantes à l’opérateur de Schrödinger généralisé.." Annales mathématiques Blaise Pascal 19.1 (2012): 197-211. <http://eudml.org/doc/251098>.

@article{ElAïdi2012,
abstract = {On donne une borne supérieur du nombre des valeurs propres négatives de l’opérateur de Schrödinger généralisé, cette borne est donnée en fonction d’un nombre fini de cube dyadiques minimaux.},
affiliation = {Departamento de Matemáticas Universidad Nacional de Colombia. Avenida Carrera 30, numéro 45-03. Bogotá, D.C. Colombia.},
author = {El Aïdi, Mohammed},
journal = {Annales mathématiques Blaise Pascal},
keywords = {Valeurs propres négatives; Principe de minmax. Cubes dyadiques. Potentiel de Riesz. Résonances; eigenvalues; minmax principle; dyadic cubes; Riesz potential; resonances},
language = {fre},
month = {1},
number = {1},
pages = {197-211},
publisher = {Annales mathématiques Blaise Pascal},
title = {Un majorant du nombre des valeurs propres négatives correspondantes à l’opérateur de Schrödinger généralisé.},
url = {http://eudml.org/doc/251098},
volume = {19},
year = {2012},
}

TY - JOUR
AU - El Aïdi, Mohammed
TI - Un majorant du nombre des valeurs propres négatives correspondantes à l’opérateur de Schrödinger généralisé.
JO - Annales mathématiques Blaise Pascal
DA - 2012/1//
PB - Annales mathématiques Blaise Pascal
VL - 19
IS - 1
SP - 197
EP - 211
AB - On donne une borne supérieur du nombre des valeurs propres négatives de l’opérateur de Schrödinger généralisé, cette borne est donnée en fonction d’un nombre fini de cube dyadiques minimaux.
LA - fre
KW - Valeurs propres négatives; Principe de minmax. Cubes dyadiques. Potentiel de Riesz. Résonances; eigenvalues; minmax principle; dyadic cubes; Riesz potential; resonances
UR - http://eudml.org/doc/251098
ER -

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