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

被引：5

作者：

Agarwal, RP ^{[1
]}

O'Regan, D

Palamides, PK

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[2] Natl Univ Ireland, Dept Math, Galway, Ireland

[3] Naval Acad Greece, Piraeus 45110, Greece

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2006年 / 29卷 / 01期

关键词：

singular boundary value problem; Thomas-Fermi; existence; upper-lower solutions;

D O I：

10.1002/mma.664

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 (c) 2005 John Wiley & Sons, Ltd.

引用

页码：49 / 66

页数：18

共 17 条

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