Orbital stability of standing waves for Schrbdinger type equations with slowly decaying linear potential

摘要

In this paper, kinds of Schrodinger type equations with slowly decaying linear potential and power type or convolution type nonlinearities are considered. By using the concentration compactness principle, the sharp Gagliardo-Nirenberg inequality and a refined estimate of the linear operator, the existence and orbital stability of standing waves in L-2-subcritical and L-2-critical cases are established in a systematic way. (C) 2019 Elsevier Ltd. All rights reserved.