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
Changsha 410082, China
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