关于非线性Schrodinger方程半经典有界状态的存在性

On the Existence of Semiclassical Bound States for the Nonlinear Schrodinger Equations

本文证明了具有（Ｖ）ａ类势函数的高阶非线性Ｓｃｈｒｏｄｉｎｇｅｒ方程半经典有界状态的存在性，并且推广了文［２］中的结果．

In this paper we prove the existence of semiclassical bound states for the higher order nonlinear Schrodinger equations with potentials of the class (V).and extend the result in [2].