Yajing Zhang, Qiaoqin Li, Lu Pang
Abstract:
We prove the existence of multiple positive solutions of fractional Laplace problems
with critical growth, we consider the concave power case or the convex power case.
We establish the relationship between the number of the local maximum points of
the coefficient function of the critical nonlinearity and the number of the positive
solutions of the equation.
Submitted June 9, 2020. Published March 31, 2021.
Math Subject Classifications: 49J35, 35A15, 35S15.
Key Words: Positive solutions; fractional Laplace problems; critical growth;
variational method; Nehari manifold.
DOI: https://doi.org/10.58997/ejde.2021.23
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Yajing Zhang School of Mathematical Sciences Shanxi University Taiyuan, Shanxi 030006, China email: zhangyj@sxu.edu.cn |
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Qiaoqin Li School of Mathematical Sciences Shanxi University Taiyuan, Shanxi 030006, China email: 1525760982@qq.com |
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Lu Pang School of Mathematical Sciences Shanxi University Taiyuan, Shanxi 030006, China email: 757005378@qq.com |
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