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| Entire Sign-Changing Solutions to theFractional Critical Schrödinger Equation |
| Xingdong Tang,Guixiang Xu,Chunyan Zhang,Jihui Zhang |
| (School of Mathematics and Statistics, Nanjing University of Information
Science and Technology, Nanjing, Jiangsu 210044, China;Laboratory of Mathematics and Complex Systems (Ministry of
Education), School of Mathematical Sciences, Beijing Normal University,
Beijing 100875, China;School of Mathematical Sciences, Nanjing Normal University, Nanjing,
Jiangsu 210046, China) |
| DOI： |
| Abstract: |
| In this paper, we consider the fractional critical Schr¨odinger equation (FCSE)
(??)s
u?|u|
2
?
s ?2
u= 0,
where u∈H˙ s
(R
N ), N≥4, 0
|
| Key words: Fractional critical Schr¨odinger equation, sign-changing solution, the
concentration-compactness principle, the equivariant group action, the mountain pass theorem |