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The generalized Thomas–Fermi singular boundary value problems for neutral atoms

✍ Scribed by Ravi P. Agarwal; Donal O'Regan; Panos K. Palamides

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
137 KB
Volume
29
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

This paper presents an upper and lower solution theory for singular boundary value problems modelling the Thomas–Fermi equation, subject to a boundary condition corresponding to the neutral atom with Bohr radius equal to its existence interval. Furthermore, we derive sufficient conditions for the existence–construction of the above‐mentioned upper–lower solutions. Copyright © 2005 John Wiley & Sons, Ltd.

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