Un majorant du nombre des valeurs propres négatives correspondantes à l’opérateur de Schrödinger généralisé.
El Aïdi, Mohammed1
1 Departamento de Matemáticas Universidad Nacional de Colombia. Avenida Carrera 30, numéro 45-03. Bogotá, D.C. Colombia.
Annales mathématiques Blaise Pascal, Tome 19 (2012) no. 1, pp. 197-211.

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.

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.

DOI : 10.5802/ambp.310
Classification : 34B09, 34L15, 34L25, 34L05, 35J40, 35P15, 35R06, 35R15, 47A75, 47A07, 47A40, 47A10, 57R40, 58D10
Mots-clés : Valeurs propres négatives, Principe de minmax. Cubes dyadiques. Potentiel de Riesz. Résonances.
El Aïdi, Mohammed 1

1 Departamento de Matemáticas Universidad Nacional de Colombia. Avenida Carrera 30, numéro 45-03. Bogotá, D.C. Colombia. 
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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, Tome 19 (2012) no. 1, pp. 197-211. doi : 10.5802/ambp.310. http://www.numdam.org/articles/10.5802/ambp.310/

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