Li Huang, Yang Yang
Abstract:
We consider the asymmetric critical fractional p-Laplacian problem
where
is a constant,
is the fractional
critical Sobolev exponent, and
.
This extends a result in the literature for the local case s = 1.
We prove the theorem based on the concentration compactness principle of the
fractional p-Laplacian and a linking theorem based on the
-cohomological
index.
Submitted November 9, 2016. Published April 18, 2017.
Math Subject Classifications: 35B33, 35J92, 35J20.
Key Words: Fractional p-Laplacian; critical nonlinearity; asymmetric nonlinearity;
linking;
-cohomological
index.
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Li Huang School of Science Jiangnan University Wuxi, Jiangsu 214122, China email: 1005596725@qq.com | |
Yang Yang School of Science Jiangnan University Wuxi, Jiangsu 214122, China email: yynjnu@126.com |
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