| Texto completo | |
| Autor(es): |
Damian, Heydy M. Santos
;
Siciliano, Gaetano
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS; v. 63, n. 6, p. 23-pg., 2024-07-01. |
| Resumo | |
In this paper we consider the following critical Schrodinger-Bopp-Podolsky system {-& varepsilon;(2)Delta u+V(x)u+Q(x)phi u=h(x,u)+K(x)|u|(4)u in R-3 (-)Delta phi+a(2)Delta(2)phi=4 pi Q(x)u(2 )in R-3 in the unknowns u,phi:R-3 -> R and where epsilon,a>0 are parameters. The functions V, K, Q satisfy suitable assumptions as well as the nonlinearity h which is subcritical. For any fixed a>0, we show existence of "small" solutions in the semiclassical limit, namely whenever epsilon -> 0. We give also estimates of the norm of this solutions in terms of epsilon. Moreover, we show also that fixed epsilon suitably small, when a -> 0 the solutions found strongly converge to solutions of the Schr & ouml;dinger-Poisson system. (AU) | |
| Processo FAPESP: | 22/16407-1 - TESEd: Temático em Equações e Sistemas de Equações diferenciais |
| Beneficiário: | Ederson Moreira dos Santos |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |