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arXiv · 0901.2233

On the orbital stability for a class of nonautonomous NLS

J. Bellazzini·N. Visciglia
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Abstract

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 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}.

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J. Bellazzini, N. Visciglia. 2009-01-15. On the orbital stability for a class of nonautonomous NLS. https://arxiv.org/abs/0901.2233

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