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arXiv:1112.1121 [math.AP]AbstractReferencesReviewsResources

Existence of a ground state and scattering for a nonlinear Schroedinger equation with critical growth

Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi, Hayato Nawa

Published 2011-12-05Version 1

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].

Comments: 2 figures, 48 pages
Categories: math.AP
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