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

Youyan Wan; Jinggang Tan

doi:10.3934/dcds.2017119

Article Contents

2017, Volume 37, Issue 5: 2765-2786. Doi: 10.3934/dcds.2017119

This issue Previous Article Topological pressure for the completely irregular set of birkhoff averages Next Article Existence and upper semicontinuity of random attractors for non-autonomous stochastic strongly damped wave equation with multiplicative noise

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

Youyan Wan^1, and
Jinggang Tan^2, ,

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
* Corresponding author: J. Tan

Received: February 2016

Revised: November 2016

Published: May 2017

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.

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Abstract

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

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Mathematics Subject Classification: 35J50, 35J10.

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References

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