Infinitely many small energy solutions for fractional coupled Schrodinger system with critical growth
- School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China.
- Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s NL A1B 3X7, Canada.
- School of Mathematics and Statistics, Puer University, Puer 665000, China.
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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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
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
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
- Coupled fractional Schr̈odinger system
- small energy solutions
- critical growth
- variant fountain theorem
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