一类超线性Schrdinger方程非平凡解的存在性

The existence of nontrivial solution to a class of superlinear Schrdinger equation

通过变量代换,将超线性Schrdinger方程转变为较简单的椭圆型方程,然后利用山路引理证明了此问题存在一个非平凡解。

Using a change of variable, we concert a class of superlinear SchriJdinger equation into a simple ellipticone. By using Mountain pass Lemma, we show the existence of nontrivial solution for a Schrodinger equation.