Infinitely many small energy solutions for fractional coupled Schrodinger system with critical growth


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


Share and Cite

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
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


MSC


References