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.
机构:
Chongqing Jiaotong Univ, Coll Math & Stat, Chongqing 400074, Peoples R ChinaChongqing Jiaotong Univ, Coll Math & Stat, Chongqing 400074, Peoples R China
Zhang, Xue
Squassina, Marco
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Univ Cattolica Sacro Cuore, Dipartimento Matemat & Fis, Via Musei 41, I-25121 Brescia, ItalyChongqing Jiaotong Univ, Coll Math & Stat, Chongqing 400074, Peoples R China
Squassina, Marco
Zhang, Jianjun
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Chongqing Jiaotong Univ, Coll Math & Stat, Chongqing 400074, Peoples R ChinaChongqing Jiaotong Univ, Coll Math & Stat, Chongqing 400074, Peoples R China
机构:
Univ Shanghai Sci & Technol, Business Sch, Shanghai 200093, Peoples R ChinaUniv Shanghai Sci & Technol, Business Sch, Shanghai 200093, Peoples R China
Zhang, Xian
Huang, Chen
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Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R ChinaUniv Shanghai Sci & Technol, Business Sch, Shanghai 200093, Peoples R China