On the orbital stability for a class of nonautonomous NLS
| dc.creator | Bellazzini, J. | |
| dc.creator | Visciglia, N. | |
| dc.date | 2009-01-15 | |
| dc.date.accessioned | 2026-07-07T12:29:40Z | |
| dc.date.available | 2026-07-07T12:29:40Z | |
| dc.description | Following the original approach introduced by T. Cazenave and P.L. Lions in \cite{CaLi} we prove the existence and the orbital stability of standing waves for the following class of NLS: \label{intr1} i\partial_t u+ Δu - V(x) u + Q(x) u|u|^{p-2}=0, \hbox{} (t,x) \in \R\times \R^n, \hbox{} 2<p<2+\frac 4n and \label{intr2} i\partial_t u - Δ^2 u - V(x) u + Q(x) u|u|^{p-2}=0, \hbox{} (t,x) \in \R\times \R^n, \hbox{} 2<p<2+\frac 8n under suitable assumptions on the potentials $V(x)$ and $Q(x)$. More precisely we assume $V(x), Q(x) \in L^\infty(\R^n)$ and $meas\{Q(x)>λ_0\}\in (0,\infty)$ for a suitable $λ_0>0$. The main point is the analysis of the compactness of minimiziang sequences to suitable constrained minimization problems related to \eqref{intr1} and \eqref{intr2}. | |
| dc.identifier | https://arxiv.org/abs/0901.2233 | |
| dc.identifier | http://arxiv.org/abs/0901.2233 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215954 | |
| dc.subject | Mathematical Physics | |
| dc.title | On the orbital stability for a class of nonautonomous NLS | |
| dc.type | text |