Guowei Lin, Xiongjun Zheng
Abstract:
This article is devoted to the study of the nonlocal fractional equation
involving critical nonlinearities
where
is a smooth bounded domain of
,
,
,
and
is critical exponent.
We show the existence of at least
nontrivial solutions for this problem.
Submitted January 11, 2016. Published April 14, 2016.
Math Subject Classifications: 35J60, 35J61, 35J70, 35J99.
Key Words: Fractional Laplacian, critical exponent, multiple solutions, category.
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Guowei Lin Department of Mathematics Jiangxi Normal University Nanchang, Jiangxi 330022, China email: lgw2008@sina.cn | |
Xiongjun Zheng Department of Mathematics Jiangxi Normal University Nanchang, Jiangxi 330022, China email: xjzh1985@126.com |
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