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

作　　者：李方卉[1] 王征平[1] LI Fanghui;WANG Zhengping(Department of Mathematics,Wuhan University of Technology,Wuhan 430070,China)

机构地区：[1]武汉理工大学数学系,湖北武汉430070

出　　处：《应用数学》2021年第4期901-911,共11页Mathematica Applicata

基　　金：国家自然科学基金(11871386)。

摘　　要：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.

关 键 词：Schrodinger-Poisson方程 HARDY位势 正规化解 约束变分方法 

分 类 号：O177.91[理学—数学]