Wei Qi, Lin Zhao, Xingjie Yan
Abstract:
This article concerns the existence and multiplicity of weak solutions
of the nonlinear fractional elliptic problem.
We extend some well known results of semilinear Laplacian equations to
the nonlocal fractional setting.
Using the variational methods based on the critical point theory,
sub-supersolutions methods and Morse theory, we show that the problem has
at least 6 nontrivial solutions.
Submitted June 4, 2016. Published September 16, 2017.
Math Subject Classifications: 35J60, 35B50.
Key Words: Fractional elliptic equation; critical point; Morse theory;
critical group; sub-supersolutions.
Show me the PDF file (243 KB), TEX file for this article.
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Wei Qi School of physical science and technology Xuzhou, Jiangsu 221008, China email: qiw04@cumt.edu.cn |
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Lin Zhao Department of Mathematics China University of Mining and Technology Xuzhou, Jiangsu 221008, China email: zhaolinmath@yeah.net |
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Xingjie Yan Department of Mathematics China University of Mining and Technology Xuzhou, Jiangsu 221008, China email: yanxj04@163.com |
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