On the minimization of the energy of a free-electron gas with constrained density function

DOI10.1016/S0362-546X(98)00115-1zbMath0928.35141OpenAlexW4302191465MaRDI QIDQ4238396

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Publication date: 12 January 2000

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(98)00115-1

zbMATH Keywords

regularityEuler-Lagrange equationsLagrange multiplierquantum chemistryKohn-Sham modelpolar decomposition in Sobolev spaces

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) PDEs in connection with quantum mechanics (35Q40) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

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