Journal of Applied Mathematics

On the Existence of Ground State Solutions of the Periodic Discrete Coupled Nonlinear Schrödinger Lattice

Meihua Huang and Zhan Zhou

Full-text: Open access

Abstract

We study the existence of ground state solutions of the periodic discrete coupled nonlinear Schrödinger lattice by using the Nehari manifold approach combined with periodic approximations. We show that both of the components of the ground state solutions are not zero.

Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 404369, 8 pages.

Dates
First available in Project Euclid: 14 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1394808149

Digital Object Identifier
doi:10.1155/2013/404369

Mathematical Reviews number (MathSciNet)
MR3108948

Zentralblatt MATH identifier
06950652

Citation

Huang, Meihua; Zhou, Zhan. On the Existence of Ground State Solutions of the Periodic Discrete Coupled Nonlinear Schrödinger Lattice. J. Appl. Math. 2013 (2013), Article ID 404369, 8 pages. doi:10.1155/2013/404369. https://projecteuclid.org/euclid.jam/1394808149


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