Infinitely many small energy solutions for fractional coupled Schrodinger system with critical growth
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Authors
Peiluan Li
- School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China.
Yuan Yuan
- Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s NL A1B 3X7, Canada.
Yuanxian Hui
- School of Mathematics and Statistics, Puer University, Puer 665000, China.
Abstract
In this paper, we investigate the small energy solutions for a coupled fractional Schrödinger system with critical growth. The existence criteria of infinitely many small energy solutions are established without Ambrosetti-Rabinowitz (A-R) condition by variant fountain theorem. Our main results are completely new and complement the previously known studies.keywords
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ISRP Style
Peiluan Li, Yuan Yuan, Yuanxian Hui, Infinitely many small energy solutions for fractional coupled Schrodinger system with critical growth, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 9, 4930--4939
AMA Style
Li Peiluan, Yuan Yuan, Hui Yuanxian, Infinitely many small energy solutions for fractional coupled Schrodinger system with critical growth. J. Nonlinear Sci. Appl. (2017); 10(9):4930--4939
Chicago/Turabian Style
Li, Peiluan, Yuan, Yuan, Hui, Yuanxian. "Infinitely many small energy solutions for fractional coupled Schrodinger system with critical growth." Journal of Nonlinear Sciences and Applications, 10, no. 9 (2017): 4930--4939
Keywords
- Coupled fractional Schr̈odinger system
- small energy solutions
- critical growth
- variant fountain theorem
MSC
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