期刊论文

Liu, Zhisu

英文

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION

2156-907X

2019

9

5

1706-1718

10.11948/20180273

L. Yang was supported by the Science and Technology Plan Project of Hunan Province(2016TP1020) and The Science and Technology Plan Project of Hengyang City(2017KJ183), and Research Foundation of Education Bureau of Hunan Province(16A031); Z. Liu was supported by the Project of Hunan Provincial Key Laboratory (2016TP1020), Open fund project of Hunan Provincial Key Laboratory of Intelligent Information Processing and Application for Hengyang normal university (IIPA18K04). †the corresponding author. Email address:liuzhisu183@sina.com(Z. Liu) 1Department of Mathematics and Computing Sciences, Hengyang Normal U-niversity, Hengyang, Hunan 421001, China 2Hunan Provincial Key Laboratory of Intelligent Information Processing and Application, Hengyang, 421002, China 3School of Mathematics and Physics, University of South China, Hengyang, Hunan 421001, China ∗L. Yang was supported by the Science and Technology Plan Project of Hu-nan Province(2016TP1020) and The Science and Technology Plan Project of Hengyang City(2017KJ183), and Research Foundation of Education Bureau of Hunan Province(16A031); Z. Liu was supported by the Project of Hu-nan Provincial Key Laboratory (2016TP1020), Open fund project of Hunan Provincial Key Laboratory of Intelligent Information Processing and Appli-cation for Hengyang normal university (IIPA18K04).

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In this paper, we are concerned with the following Schrödinger-Poisson-Slater problem with critical growth: (formula presented). We use a measure representation concentration-compactness principle of Lions to prove that the (P S)c condition holds locally. Via a truncation technique and Krasnoselskii genus theory, we further obtain infinitely many solutions for µ ∈ (0, µ*) with some µ*> 0. © 2019, Wilm...