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Orbital stability for schrödinger systems with nonautonomous coupled nonlinearities

Qing GUO - No affiliation found

2013/03/01 Full-length article DOI: 10.1016/S0252-9602(13)60014-4 Journal: Acta Mathematica Scientia

Abstract:

AbstractWe prove the existence and the orbital stability of standing waves for the nonautonomous Schrödinger system {iut+Δu-a(x)u+(|u|2p+b(x)|u|p-1|v|p+1)u=0,x∈ℝN,ivt+Δv-a(x)v+(|v|2p+b(x)|v|p-1|u|p+1)v=0,x∈ℝNunder suitable conditions on the coefficient functions a and b. We follow the idea of analyzing the compactness of minimizing sequence of the constrained minimization problems.