一类非线性Schrdinger方程正解的存在性

The Existence of Positive Solutions for a Class Nonlinear Schrodinger Equations

本文中,我们以山路引理为工具,通过惩罚非线性项的方法证明了一类非线性schr6dinger方程存在正解以及解的聚集性,同时也给出了解的衰减性估计.

In this paper, we study the existence of positive solutions for a class nonlinear SchrSdinger equations by way of penalized nonlinearity and mountain pass theorem as a tool. We prove the existence of bound state positive solutions localized around local minimum points of a auxiliary function, and obtain also decay estimates of the solutions.