Fractional Kirchhoff-Choquard system with upper critical exponent and singular nonlinearity

被引:0
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作者
Yanbin Sang
Tsing-San Hsu
机构
[1] North University of China,Department of Mathematics, School of Science
[2] Chang Gung University,Department of Natural Sciences in the Center for General Education
关键词
Fractional operator; Kirchhoff system; Upper critical exponent; Singular term; Choquard equation; 35J60; 35J75; 35A15;
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摘要
In this paper, we consider a fractional critical Kirchhoff-Choquard system involving singular nonlinearity and the parameter λ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda $$\end{document}. By the decomposition of Nehari manifold, we prove that above system admits at least two nontrivial solutions when λ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\lambda $$\end{document} satisfies certain condition.
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