ORBITAL STABILITY FOR SCHRÖDINGER SYSTEMS WITH NONAUTONOMOUS COUPLED NONLINEARITIES

doi:10.1016/S0252-9602(13)60014-4

摘要/Abstract

摘要：

We prove the existence and the orbital stability of standing waves for the nonautonomous Schr¨odinger system
iu_t + Δu − a(x)u + (|u|^2p + b(x)|u|^p−1|v|^p+1Δu = 0, x ∈ R^N,
iv_t + Δv − a(x)v + (|v|^2p+ b(x)|v|^p−1|u|^p+1Δv = 0, x ∈ R^Nunder 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.

关键词: Nonautonomous system, orbital stability, standing waves

Abstract:

Key words: Nonautonomous system, orbital stability, standing waves

中图分类号:

35Q55

郭青. ORBITAL STABILITY FOR SCHRÖDINGER SYSTEMS WITH NONAUTONOMOUS COUPLED NONLINEARITIES[J]. 数学物理学报(英文版), 2013, 33(2): 495-504.

GUO Qing. ORBITAL STABILITY FOR SCHRÖDINGER SYSTEMS WITH NONAUTONOMOUS COUPLED NONLINEARITIES[J]. Acta mathematica scientia,Series B, 2013, 33(2): 495-504.

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