Multi-peak solutions for magnetic NLS equations without non--degeneracy conditions
| dc.creator | Cingolani, Silvia | |
| dc.creator | Jeanjean, Louis | |
| dc.creator | Secchi, Simone | |
| dc.date | 2007-10-17 | |
| dc.date | 2008-07-21 | |
| dc.date.accessioned | 2026-07-07T09:51:29Z | |
| dc.date.available | 2026-07-07T09:51:29Z | |
| dc.description | In the work we consider the magnetic NLS equation (\frac{\hbar}{i} \nabla -A(x))^2 u + V(x)u - f(|u|^2)u = 0 \quad {in} \R^N where $N \geq 3$, $A \colon \R^N \to \R^N$ is a magnetic potential, possibly unbounded, $V \colon \R^N \to \R$ is a multi-well electric potential, which can vanish somewhere, $f$ is a subcritical nonlinear term. We prove the existence of a semiclassical multi-peak solution $u\colon \R^N \to \C$, under conditions on the nonlinearity which are nearly optimal. | |
| dc.description | Important modification in the last part of the paper | |
| dc.identifier | https://arxiv.org/abs/0710.3227 | |
| dc.identifier | http://arxiv.org/abs/0710.3227 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/165264 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J10; 35J20 | |
| dc.title | Multi-peak solutions for magnetic NLS equations without non--degeneracy conditions | |
| dc.type | text |