Stability of solitary waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities
نویسندگان
چکیده
We show that the ground-state solitary waves of the critical nonlinear Schrödinger equation iψt(t, r)+ ψ+V ( r)|ψ |4/dψ = 0 in dimension d ≥ 2 are orbitally stable as → 0 if V (0)V (4)(0) < Gd [V ′′(0)]2, where Gd is a constant that depends only on d. © 2002 Elsevier Science B.V. All rights reserved.
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