Existence of a ground state and scattering for a nonlinear Schroedinger equation with critical growth
Analysis of PDEs
2011-12-07 v1
Abstract
We study the energy-critical focusing nonlinear Schr\"odinger equation with an energy- subcritical perturbation. We show the existence of a ground state in the four or higher dimensions. Moreover, we give a sufficient and necessary condition for a solution to scatter, in the spirit of Kenig-Merle [16].
Keywords
Cite
@article{arxiv.1112.1121,
title = {Existence of a ground state and scattering for a nonlinear Schroedinger equation with critical growth},
author = {Takafumi Akahori and Slim Ibrahim and Hiroaki Kikuchi and Hayato Nawa},
journal= {arXiv preprint arXiv:1112.1121},
year = {2011}
}
Comments
2 figures, 48 pages