一类Schrodinger方程的无穷多非平凡解

Infinitely many nontrival solutions for a class of Schrodinger equations

讨论一类具有变号位势的Schrdinger方程的无穷多非平凡解的存在性,其非线性项具有超二次的增长条件,建立了此类方程的无穷多解的存在性结果。结果推广了已有的结论。

This paper considers the existence of infinitely many nontrival solutions for a class of Schr?dinger equation with signchanging potentials. Under the condition that the nonlinearity has superquadratic growth,the existent result is established,which generalizes the existing results.