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May  2017, 37(5): 2765-2786. doi: 10.3934/dcds.2017119

## The existence of nontrivial solutions to Chern-Simons-Schrödinger systems

 1 The Department of Mathematics, Jianghan University, Wuhan, Hubei, 430056, China 2 Departamento de Matemática, Universidad Técnica Federico Santa María, Avda. España 1680, Valparaíso, Chile

* Corresponding author: J. Tan

Received  February 2016 Revised  November 2016 Published  February 2017

Fund Project: Y.W. was supported by Scientific Research Program of Hubei Provincial Department of Education(B2016299). J.T. was supported by Chile Government grant Fondecyt 1120105, Fondecyt 1160519, Proy. USM 121402, 121568; Spain Government grant MTM2011-27739-C04-01.

We show the existence of nontrivial solutions to Chern-Simons-Schrödinger systems by using the concentration compactness principle and the argument of global compactness.

Citation: Youyan Wan, Jinggang Tan. The existence of nontrivial solutions to Chern-Simons-Schrödinger systems. Discrete & Continuous Dynamical Systems - A, 2017, 37 (5) : 2765-2786. doi: 10.3934/dcds.2017119
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