一类具有变号势的Schr?dinger-Maxwell方程无穷多高能解的存在性

The Existence of Infinitely Many High Energy Solutions for a Kind of Schr?dinger-Maxwell Equation with Sign Changing Potentials

本文研究了一类具有变号势的Schrödinger-Maxwell方程无穷多能高能解的存在性问题在f,g满足一定的假设条件下,且p∈(2,6)时,运用变分法和临界点理论,得到了无穷多高能解的存在性。

In this paper, we consider the existence of infinitely many high energy solutions for a kind of Schrödinger-Maxwell equation with sign changing potentials Under certain assumptions on f,g and p∈(2,6), we obtain the existence of infinitely many high energy solutions by using variational methods and critical point theory.