Existence of minimizers for Kohn-Sham models in quantum chemistry
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Publication:1044397
DOI10.1016/j.anihpc.2009.06.003zbMath1186.81138OpenAlexW2094849288MaRDI QIDQ1044397
Eric Cancès, Arnaud Anantharaman
Publication date: 18 December 2009
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/78941
PDEs in connection with quantum mechanics (35Q40) Schrödinger operator, Schrödinger equation (35J10) Atomic physics (81V45) Quantum equilibrium statistical mechanics (general) (82B10) Molecular physics (81V55)
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Cites Work
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Solutions of Hartree-Fock equations for Coulomb systems
- Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Nonconvex minimization problems
- On the thermodynamic limit for Hartree-Fock type models
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