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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 317571, 8 pages
http://dx.doi.org/10.1155/2014/317571
Research Article

Ground States for the Schrödinger Systems with Harmonic Potential and Combined Power-Type Nonlinearities

School of Mathematics and Physics, University of Science and Technology Beijing, 30 Xueyuan Road, Haidian District, Beijing 100083, China

Received 14 June 2014; Accepted 28 August 2014; Published 19 October 2014

Academic Editor: Vladimir Georgiev

Copyright © 2014 Baiyu Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We consider a class of coupled nonlinear Schrödinger systems with potential terms and combined power-type nonlinearities. We establish the existence of ground states, by using a variational method. As an application, some symmetry results for ground states of Schrödinger systems with harmonic potential terms are obtained.