Homoclinic solutions of discrete nonlinear Schrödinger equations with asymptotically or super linear terms
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摘要
In this paper, we study the following periodic discrete nonlinear Schrödinger equation-Δun+(∊n-ω)un=γχngn(un),n∈Z,∊where the nonlinearity gn is asymptotically or super linear. The sufficient conditions on the existence and on the nonexistence of nontrivial solitons was established by using critical point theory.
论文关键词：Discrete nonlinear Schrödinger equations,Homoclinic solutions,Superlinear,Asymptotically linear,Critical point theory
论文评审过程：Available online 15 February 2014.
论文官网地址：https://doi.org/10.1016/j.amc.2014.01.154
