Abstract and Applied Analysis

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

Baiyu Liu

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 317571, 8 pages.

Dates
First available in Project Euclid: 27 February 2015

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1425049840

Digital Object Identifier
doi:10.1155/2014/317571

Mathematical Reviews number (MathSciNet)
MR3273906

Zentralblatt MATH identifier
07022159

Citation

Liu, Baiyu. Ground States for the Schrödinger Systems with Harmonic Potential and Combined Power-Type Nonlinearities. Abstr. Appl. Anal. 2014 (2014), Article ID 317571, 8 pages. doi:10.1155/2014/317571. https://projecteuclid.org/euclid.aaa/1425049840


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Abstract and Applied Analysis

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