Mathematical Problems in Engineering 
Volume 8 (2002), Issue 2, Pages 135-142
doi:10.1080/10241230212908

An upper and lower solution approach for a generalized Thomas–Fermi theory of neutral atoms

Ravi P. Agarwal1 and Donal O'Regan2

 1Department of Mathematical Sciences, Florida Institute of Technology, Melbourne 32901-6975, Florida, USA
2Department of Mathematics, National University of Ireland, Galway, Ireland
Received 8 February 2002

Abstract

This paper presents an upper and lower solution theory for boundary value problems modelled from the Thomas–Fermi equation subject to a boundary condition corresponding to the neutral atom with Bohr radius.