Volume no :30, Issue no: 1, November

Journal of Mathematical Sciences: Advances and Applications

THE NON-EXISTENCE OF RADIAL SOLUTIONS TO NONLINEAR CHERN-SIMONS-SCHRÖDINGER SYSTEMS WITH SOME SPECIAL NONLINEARITIES

Author's: Can Zhang, Zhiyong Zhang, Jun Xie, Kangli Zhu, Kuiliang Dong, and Youyan Wan
Pages: [15] - [19]
Received Date: August 5, 2014
Submitted by:

Abstract

In this paper, we consider the nonlinear Chern-Simons-Schrödinger systems with special nonlinearities and external potentials. We prove that this problem has no nontrivial radial solution when the parameter is large enough.

Keywords

Chern-Simons gauge field, Schrödinger equation, variational methods, radial solutions, the non-existence.