The fibering method approach for a non-linear schrodinger equation coupled with the electromagnetic field
Siciliano, Gaetano (Universidade de São Paulo. Departamento de Matemática)
Silva, Kaye (Universidade Federal de Goiás. Instituto de Matemática e Estatística)

Data:	2020
Resum:	We study, with respect to the parameter q 6= 0, the following Schrödinger-Bopp-Podolsky system in R3 where p 2 2, 3], w > 0, a 0 are fixed. We prove, by means of the fibering approach, that the system has no solutions at all for large values of q and has two radial solutions for small q's. We give also qualitative properties about the energy level of the solutions and a variational characterization of these extremal values of q. Our results recover and improve some results in [2, 5].
Nota:	Gaetano Siciliano was partially supported by Fapesp, CNPq, and Capes, Brazil.
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió publicada
Matèria:	Schrödinger-poisson type system ; Variational methods ; Fibering methods ; Nehari manifold
Publicat a:	Publicacions matemàtiques, Vol. 64 Núm. 2 (2020) , p. 373-390 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/371156
DOI: 10.5565/PUBLMAT6422001

18 p, 389.8 KB

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