Multiplicity of normalized solutions to a class of nonlinear fractional Schrödinger-Poisson systems with Hardy potential

被引:0
|
作者
Du, Xinsheng [1 ]
Wang, Shanshan [1 ]
机构
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
来源
BOUNDARY VALUE PROBLEMS | 2024年 / 2024卷 / 01期
关键词
Fractional Schr & ouml; dinger-Poisson equation; Hardy potential; Normalized solution; Multiplicity; PRESCRIBED NORM; SCHRODINGER; EXISTENCE; EQUATIONS;
D O I
10.1186/s13661-024-01968-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study the multiplicity of normalized solutions to a class of nonlinear fractional Schr & ouml;dinger-Poisson systems with Hardy potential. First, by using some ideas of the fountain theorem, we define a sequence of minimax values, and then we prove that these minimax values are critical values of the energy function restricted to a constraint set, which leads to the multiplicity of normalized solutions and extends some related results.
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页数:15
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