The generalized Thomas–Fermi singular boundary value problems for neutral atoms | Zendy

Agarwal Ravi P. | Zendy; O'Regan Donal | Zendy; Palamides Panos K. | Zendy

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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.

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