| Full text | |
| Author(s): |
Ramos, Gustavo de Paula
;
Siciliano, Gaetano
Total Authors: 2
|
| Document type: | Journal article |
| Source: | BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY; v. 47, n. 6, p. 26-pg., 2024-11-01. |
| Abstract | |
In the paper we consider the following quasilinear Schrodinger-Poisson system in the whole space R-3 {-epsilon(2) Delta u + (V + phi)u = u |u|(p-1) {- Delta phi - beta Delta(4)phi = u(2), where 1 < p < 5, beta > 0, V : R-3 ->]0, infinity[ , and look for solutions u, phi : R-3 -> R in the semiclassical regime, namely when epsilon -> 0. By means of the Lyapunov-Schmidt method we estimate the number of solutions by the cup-length of the critical manifold of the external potential V. (AU) | |
| FAPESP's process: | 22/16097-2 - Modern methods in differential geometry and geometric analysis |
| Grantee: | Paolo Piccione |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 22/16407-1 - TESdE: Thematic on Equations and Systems of differential Equations |
| Grantee: | Ederson Moreira dos Santos |
| Support Opportunities: | Research Projects - Thematic Grants |