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arXiv · 1112.1121

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

Takafumi Akahori·Slim Ibrahim·Hiroaki Kikuchi·Hayato Nawa
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Abstract

We study the energy-critical focusing nonlinear Schrödinger 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].

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Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi, Hayato Nawa. 2011-12-05. Existence of a ground state and scattering for a nonlinear Schroedinger equation with critical growth. https://arxiv.org/abs/1112.1121

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