The free boundary in the Thomas-Fermi atomic model

DOI10.1016/0022-0396(79)90038-XzbMath0408.35083MaRDI QIDQ1258468

Avner Friedman, Luis A. Caffarelli

Publication date: 1979

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Differential InequalitiesFree BoundaryThomas-Fermi Atomic Model

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Cites Work

• A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order
• A non-linear eigenvalue problem: the shape at equilibrium of a confined plasma
• The Thomas-Fermi theory of atoms, molecules and solids
• Nonlinear problems related to the Thomas-Fermi equation
• Variational solutions of some nonlinear free boundary problems
• Remarks on a free Boundary Value Problem Arising in Plasma Physics
• Variational inequalities and free boundary problems
• On the Local Behavior of Solutions of Non-Parabolic Partial Differential Equations
• On the behavior of the solutions of the differential equation ΔU = F(x,u) in the neighborhood of a point
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