含Hardy位势的非线性Schrodinger-Poisson方程的正规化解

Normalized Solution for Nonlinear Schrodinger-Poisson Equation with Hardy Potential

本文考虑一类含Hardy位势的非线性Schrodinger-Poisson方程.在适当的参数假设条件下,我们应用约束变分方法证明了正规化解的存在性,推广了有关文献的结果.

This paper concerns a class of nonlinear Schrodinger-Poisson equation with Hardy potential. Under suitable assumptions on the parameters, by using constrained variational methods we get the existence of normalized solution, which extends some related results in the literature.