| Full text | |
| Author(s): |
Figueiredo, Giovany M.
;
Pimenta, Marcos T. O.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | BOUNDARY VALUE PROBLEMS; v. N/A, p. 19-pg., 2015-09-18. |
| Abstract | |
In this work we deal with the following nonlinear Schrdinger equation: {-epsilon(2)Delta u + V(x) u = f (u) in R-N u is an element of H-1(R-N), where N >= 3, f is a subcritical power-type nonlinearity and V is a positive potential satisfying a local condition. We prove the existence and concentration of nodal solutions which concentrate around a k-dimensional sphere of R-N, where 1 <= k <= N-1, as epsilon -> 0. The radius of such a sphere is related with the local minimum of a function which takes into account the potential V. Variational methods are used together with the penalization technique in order to overcome the lack of compactness. (AU) | |
| FAPESP's process: | 14/16136-1 - Study of semiclassical solutions to the stationary nonlinear Dirac equation |
| Grantee: | Marcos Tadeu de Oliveira Pimenta |
| Support Opportunities: | Regular Research Grants |