Multiple solutions to the Kirchhoff fractional equation involving Hardy–Littlewood–Sobolev critical exponent

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作者
Jichao Wang
Jian Zhang
Yujun Cui
机构
[1] China University of Petroleum,College of Science
[2] Shandong University of Science and Technology,Department of Mathematics
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关键词
Fractional equation; Kirchhoff type; Hardy–Littlewood–Sobolev critical exponent; Multiple solution;
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摘要
In this paper, we study a fractional Kirchhoff type equation with Hardy–Littlewood–Sobolev critical exponent. By using variational methods, we obtain the existence of mountain-pass type solution and negative energy solutions. Also, we prove some further properties of solutions.
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