一类Schrodinger方程的多解定理

Multiple Solutions Theorem to a Type of Schrodinger Equation

应用下降流不变集方法证明了一类Schrodinger方程的四解定理,作为四解定理的推论,得到了这类方程正解、负解和变号解同时存在的结论.

In this paper,the four solutions theorem for a type of Schrodinger equation is proved by using unvariant sets method,As a corollary of four theorem, we proved three solutions theorem to the equation,one is positive,one is negtive and another is sign changing.