A convexified energy functional for the Fermi-Amaldi correction

DOI10.3934/DCDS.2010.28.41zbMATH Open1194.35340OpenAlexW2058496015MaRDI QIDQ977962

Naima Naheed, Jerome A. Goldstein, Gisèle Ruiz Goldstein

Publication date: 23 June 2010

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2010.28.41

zbMATH Keywords

degree theoryconstrained minimizationconvex minorantThomas-Fermi theoryFermi-Amaldi correctionspin polarized system

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Molecular physics (81V55) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Variational principles of physics (49S05) Second-order elliptic systems (35J47) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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Universal diagonal estimates for minimizers of the Levy-Lieb functional

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