On some properties of the solution of the Thomas–Fermi problem

DOI10.1016/0362-546X(83)90114-1zbMath0524.35096OpenAlexW2029210662MaRDI QIDQ3037947

Jean-Michel Morel, Thierry Gallouet

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0362-546x(83)90114-1

zbMATH Keywords

existenceuniquenessnon-existenceThomas-Fermi problemdensity of electronsradial-decreasing rearrangementradial-decreasing solutions

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (2)

Spin-polarized Thomas–Fermi theory ⋮ A rigorous modified Thomas–Fermi theory for atomic systems

Cites Work

• The Thomas-Fermi theory of atoms, molecules and solids
• Thomas-fermi and related theories of atoms and molecules
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