Standing wave solutions for discrete nonlinear Schrödinger equations with unbounded potentials and saturable nonlinearity

Abstract

We prove existence and multiplicity results for nontrivial standing waves in discrete nonlinear Schrödinger equations with unbounded potentials and saturable nonlinearities. Our approach is based on the critical point theory for smooth functionals. Bibliography: 25 titles. © 2011 Springer Science+Business Media, Inc.