Stable standing waves for a class of nonlinear Schroedinger-Poisson equations

Details Stable standing waves for a class of nonlinear Schroedinger-Poisson equations Stable standing waves for a class of nonlinear Schroedinger-Poisson equations

2010-02-09

arxiv.org/abs/1002.1830v2

Mathematics

Analysis of PDEs

Scientific paper

We prove the existence of orbitally stable standing waves with prescribed $L^2$-norm for the following Schr\"odinger-Poisson type equation \label{intro} %{%{ll} i\psi_{t}+ \Delta \psi - (|x|^{-1}*|\psi|^{2}) \psi+|\psi|^{p-2}\psi=0 \text{in} \R^{3}, %-\Delta\phi= |\psi|^{2}& \text{in} \R^{3},%. when $p\in \{8/3\}\cup (3,10/3)$. In the case $3

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