The fibering method approach for a non-linear schrodinger equation coupled with the electromagnetic field

• Autores: Gaetano Siciliano, Kaye Silva
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 64, Nº 2, 2020, págs. 373-390
• Idioma: inglés
• Enlaces
  • Texto completo  1    2  
• Resumen

  • 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].