| Full text | |
| Author(s): |
Ramos, Gustavo de Paula
;
Siciliano, Gaetano
Total Authors: 2
|
| Document type: | Journal article |
| Source: | ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK; v. 74, n. 2, p. 17-pg., 2023-04-01. |
| Abstract | |
Consider the following Schrodinger-Bopp-Podolsky system in R-3 under an L-2-norm constraint,{- delta u + omega u + phi u = u|u|(P-2),- delta phi + a(2)delta(2)phi = 4 pi u(2),(sic)u(sic)(L)(2) = rho,where a, rho > 0 are fixed, with our unknowns being u, phi: R-3 -> R and omega is an element of R. We prove that if 2 < p < 3 (resp., 3 < p < 10/3) and rho > 0 is sufficiently small (resp., sufficiently large), then this system admits a least energy solution. Moreover, we prove that if 2 < p < 14/5 and rho > 0 is sufficiently small, then least energy solutions are radially symmetric up to translation, and as a -> 0, they converge to a least energy solution of the Schrodinger-Poisson-Slater system under the same L-2-norm constraint. (AU) | |
| FAPESP's process: | 19/27491-0 - Study of partial differential equations via variational and topological methods |
| Grantee: | Gaetano Siciliano |
| Support Opportunities: | Scholarships abroad - Research |