Un majorant du nombre des valeurs propres négatives correspondantes à l'opérateur de Schrödinger généralisé.

DOI10.5802/ambp.310zbMath1256.35034OpenAlexW2539282116MaRDI QIDQ443803

Mohammed El Aïdi

Publication date: 13 August 2012

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/ambp.310

zbMATH Keywords

eigenvaluesresonancesRiesz potentialdyadic cubesminmax principle

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10)

Related Items

On the number of negative eigenvalues of an elliptic operator, An explicit upper bound of the number of negative eigenvalues associated to an elliptic operator, A lower bound for the number of negative eigenvalues on a Euclidean space and on a complete Riemannian manifold

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A remark on two dimensional periodic potentials
• The trace inequality and eigenvalue estimates for Schrödinger operators
• The shape resonance
• Asymptotic formulas for the eigenvalues of a periodic Schrödinger operator and the Bethe-Sommerfeld conjecture
• The mathematical theory of resonances whose widths are exponentially small
• Resonances in Born-Oppenheimer approximation. II: Length of resonances.
• Résonances dans l'approximation de Born-Oppenheimer. I. (Resonances in Born-Oppenheimer approximation. I)
• Breit-Wigner approximation and the distribution of resonances
• On the Bethe-Sommerfeld conjecture for the polyharmonic operator.
• The uncertainty principle
• Global solution branch and Morse index estimates of a semilinear elliptic equation with super-critical exponent
• Lower bounds for shape resonances widths of long range Schrodinger operators
• MINORATION DU NOMBRE DE RÉSONANCES ENGENDRÉES PAR UNE TRAJECTOIRE FERMÉE
• Geometry of phase space and solutions of semilinear elliptic equations in a ball
• Résonances en limite semi-classique
• The local regularity of solutions of degenerate elliptic equations
• Estimates of the negative spectrum of an elliptic operator
• Existence of resonances in potential scattering
• Sobolev Spaces
• Negative spectrum of an elliptic operator with Robin boundary conditions
• Trace formula for resonances in small domains