On standing wave solutions for discrete nonlinear Schrödinger equations (Q2015545)

From MaRDI portal





scientific article; zbMATH DE number 6306837
Language Label Description Also known as
English
On standing wave solutions for discrete nonlinear Schrödinger equations
scientific article; zbMATH DE number 6306837

    Statements

    On standing wave solutions for discrete nonlinear Schrödinger equations (English)
    0 references
    0 references
    23 June 2014
    0 references
    Summary: The purpose of this paper is to study a class of discrete nonlinear Schrödinger equations. Under a weak superlinearity condition at infinity instead of the classical Ambrosetti-Rabinowitz condition, the existence of standing waves of the equations is obtained by using the Nehari manifold approach.
    0 references
    weak superlinearity condition
    0 references
    discrete nonlinear Schrödinger equations
    0 references
    standing waves
    0 references
    Nehari manifold
    0 references

    Identifiers