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math.AP2011
Existence of a ground state and scattering for a nonlinear Schroedinger equation with critical growth
Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi +1
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 dimensi…
math.AP2011★ 25 cited
Existence of a ground state and blow-up problem for a nonlinear Schrodinger equation with critical growth
Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi +1
In this paper we show the existence of ground-state solutions for the energy-critical NLS perturbed with subcritical terms when the space dimension . However in dimension t…