Establishing existence and uniqueness of solutions to the boundary value problem involving a generalized Emden equation, embracing Thomas–Fermi-like theories-Reference-Cited by-同舟云学术

Establishing existence and uniqueness of solutions to the boundary value problem involving a generalized Emden equation, embracing Thomas–Fermi-like theories

Published:2020-09-24 Issue:1 Volume:124 Page:1-10
ISSN:0022-0833
Container-title:Journal of Engineering Mathematics
language:en
Short-container-title:J Eng Math

Author:

Almuthaybiri Saleh S.^ORCID,Tisdell Christopher C.^ORCID

Publisher

Springer Science and Business Media LLC

Subject

General Engineering,General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s10665-020-10055-6.pdf

Reference51 articles.

1. Fermi E (1927) Un metodo statistico per la determinazione di alcune priorietà dell’atome (In Italian). Rend Addad Naz Lincei 6:602–607

2. Thomas LH (1927) The calculation of atomic fields. Proc Camb Philos Soc 23:542–548

3. Akkermans E, Ghosh S, Musslimani ZH (2008) Numerical study of one-dimensional and interacting Bose–Einstein condensates in a random potential. J Phys B 41:045302

4. Bautista MA (2008) Electronic correlations and polarizability of the Thomas–Fermi–Dirac–Amaldi potential: applications to the singly ionized iron-peak species. J Phys B 41:065701

5. Bénilan P, Brézis H (2003) Nonlinear problems related to the Thomas–Fermi equation. Dedicated to Philippe Bénilan. J Evol Equ 3(4):673–770

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