Hui Guo
Abstract:
In this article, we prove the multiplicity of nontrivial solutions to
the critical problem with fractional Laplacian
where
is a smooth bounded domain. More precisely, for any
,
this problem has at least
pairs of nontrivial weak solutions.
Submitted April 9, 2016. Published June 20, 2016.
Math Subject Classifications: 35J20, 35J60, 35J67, 35R11.
Key Words: Fractional Laplacian; multiple solutions; Brezis-Nirenberg problem.
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Hui Guo College of Mathematics and Econometrics Hunan University Changsha 410082, China email: huiguo_math@163.com |
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