Abstract:

By using critical point theory and the generalized Nehari manifold method, we considered a class of periodic discrete nonlinear Schrdinger systems
and obtained the existence of infinitely many geometrically distinct solutions of the systems. Moreover, we used this method to obtain the multiplicity of solutions for single periodic discrete nonlinear Schrdinger equation.

Key words: discrete vector Schrdinger equation, generalized Nehari manifold, critical point theory, standing wave