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

Author:

Agarwal Ravi P.1ORCID,O'Regan Donal2

Affiliation:

1. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne 32901-6975, Florida, USA

2. Department of Mathematics, National University of Ireland, Galway, Ireland

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.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Nonlinear Boundary Value Problems;500 Examples and Problems of Applied Differential Equations;2019

2. Existence of solutions to the nonlinear, singular second order Bohr boundary value problems;Nonlinear Analysis: Real World Applications;2017-08

3. Existence of positive solutions for a generalized and fractional ordered Thomas-Fermi theory of neutral atoms;Advances in Difference Equations;2015-11-16

4. The generalized Thomas-Fermi singular boundary value problems for neutral atoms;Mathematical Methods in the Applied Sciences;2005

5. Singular problems motivated from classical upper and lower solutions;Acta Mathematica Hungarica;2003

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