期刊论文

Liu, Zhisu

英文

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION

2156-907X

2019

9

5

1706-1718

10.11948/20180273

Science and Technology Plan Project of Hunan Province [2016TP1020]; Science and Technology Plan Project of Hengyang City [2017KJ183]; Research Foundation of Education Bureau of Hunan Province [16A031]; 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]

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In this paper, we are concerned with the following Schrodinger-Poisson-Slater problem with critical growth: -Delta u + (u(2) * 1/vertical bar 4 pi x vertical bar)u = mu k(x)vertical bar u vertical bar(p-2) u + vertical bar u vertical bar(4) u in R-3.( ) We use a measure representation concentration-compactness principle of Lions to prove that the (PS), condition holds locally. Via a truncation technique and Krasnoselskii genus theory, we further obtain infinitely many s...