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

Ravi P. Agarwal; Donal O'Regan

doi:10.1080/10241230212908

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

Ravi P. Agarwal
, Donal O'Regan

Mathematics

Department of Mathematical Sciences

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

5 Citations (Scopus)

Abstract

An upper and lower solution theory for boundary value problems modeled from the Thomas-Fermi equation, was presented. The approach was subjected to a boundary condition corresponding to the neutral atom with Bohr radius. The boundary conditions were investigated for the neutral atoms, the ionized atoms and the isolated neutral atoms.

Original language	English
Pages (from-to)	135-142
Number of pages	8
Journal	Mathematical Problems in Engineering
Volume	8
Issue number	2
DOIs	https://doi.org/10.1080/10241230212908
Publication status	Published - Apr 2002

Keywords

Boundary value problem
Existence
Thomas-Fermi theory
Upper and lower solution

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10.1080/10241230212908

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title = "An upper and lower solution approach for a generalized Thomas-Fermi theory of neutral atoms",

abstract = "An upper and lower solution theory for boundary value problems modeled from the Thomas-Fermi equation, was presented. The approach was subjected to a boundary condition corresponding to the neutral atom with Bohr radius. The boundary conditions were investigated for the neutral atoms, the ionized atoms and the isolated neutral atoms.",

keywords = "Boundary value problem, Existence, Thomas-Fermi theory, Upper and lower solution",

author = "Agarwal, \{Ravi P.\} and Donal O'Regan",

year = "2002",

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T1 - An upper and lower solution approach for a generalized Thomas-Fermi theory of neutral atoms

AU - Agarwal, Ravi P.

AU - O'Regan, Donal

PY - 2002/4

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N2 - An upper and lower solution theory for boundary value problems modeled from the Thomas-Fermi equation, was presented. The approach was subjected to a boundary condition corresponding to the neutral atom with Bohr radius. The boundary conditions were investigated for the neutral atoms, the ionized atoms and the isolated neutral atoms.

AB - An upper and lower solution theory for boundary value problems modeled from the Thomas-Fermi equation, was presented. The approach was subjected to a boundary condition corresponding to the neutral atom with Bohr radius. The boundary conditions were investigated for the neutral atoms, the ionized atoms and the isolated neutral atoms.

KW - Boundary value problem

KW - Existence

KW - Thomas-Fermi theory

KW - Upper and lower solution

UR - https://www.scopus.com/pages/publications/0036554089

U2 - 10.1080/10241230212908

DO - 10.1080/10241230212908

M3 - Article

SN - 1024-123X

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SP - 135

EP - 142

JO - Mathematical Problems in Engineering

JF - Mathematical Problems in Engineering

IS - 2

ER -

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

Abstract

Keywords

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