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The generalized Thomas–Fermi singular boundary value problems for neutral atoms
Author(s) -
Agarwal Ravi P.,
O'Regan Donal,
Palamides Panos K.
Publication year - 2005
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.664
Subject(s) - bohr radius , mathematics , bohr model , boundary value problem , radius , interval (graph theory) , boundary (topology) , boundary values , mathematical analysis , upper and lower bounds , atom (system on chip) , singular solution , energetic neutral atom , value (mathematics) , quantum mechanics , combinatorics , physics , ion , electron , statistics , computer security , computer science , embedded system
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.