Existence and Symmetry of Solutions for a Class of Fractional Schrödinger–Poisson Systems

Yongzhen Yun, Tianqing An and Guoju Ye
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Yongzhen Yun: College of Science, Hohai University, Nanjing 211100, China
Tianqing An: College of Science, Hohai University, Nanjing 211100, China
Guoju Ye: College of Science, Hohai University, Nanjing 211100, China

Mathematics, 2021, vol. 9, issue 10, 1-13

Abstract: In this paper, we investigate a class of Schrödinger–Poisson systems with critical growth. By the principle of concentration compactness and variational methods, we prove that the system has radially symmetric solutions, which improve the related results on this topic.

Keywords: fractional Laplacian; fractional Schrödinger–Poisson systems; weak solution; variational methods (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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