Standing wave solutions for the discrete nonlinear Schrödinger equations with indefinite sign subquadratic potentials

DOI10.1016/j.aml.2016.02.010zbMath1381.35165OpenAlexW2278977005MaRDI QIDQ274246

Yuanbiao Zhang, Hai-Ping Shi

Publication date: 22 April 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.02.010

zbMATH Keywords

critical point theorysublineardiscrete nonlinear Schrödinger equationsstanding wave solutions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) NLS equations (nonlinear Schrödinger equations) (35Q55) Ordinary lattice differential equations (34A33)

Related Items

Existence of solutions to boundary value problems for a class of nonlinear difference systems, Existence and multiple solutions for higher order difference Dirichlet boundary value problems, Ground-state sign-changing homoclinic solutions for a discrete nonlinear \(p\)-Laplacian equation with logarithmic nonlinearity, Existence and multiple solutions for second-order \(p\)-Laplacian difference equations

Cites Work

• Standing wave solutions for the discrete coupled nonlinear Schrödinger equations with unbounded potentials
• Infinitely many solutions for Schrödinger-Maxwell equations with indefinite sign subquadratic potentials
• Existence of homoclinic orbits for \(2n\)th-order nonlinear difference equations containing both many advances and retardations
• Discrete solitons for periodic discrete nonlinear Schrödinger equations
• Homoclinic orbits for a singular second-order neutral differential equation
• On the existence of homoclinic solutions of a class of discrete nonlinear periodic systems
• Existence of homoclinic orbits of superquadratic second-order Hamiltonian systems
• Non-Nehari manifold method for asymptotically periodic Schrödinger equations
• Multiplicity results of breathers for the discrete nonlinear Schrödinger equations with unbounded potentials
• Existence and multiplicity of homoclinic solutions for second-order discrete Hamiltonian systems with subquadratic potential
• Existence of homoclinic solutions for some second-order discrete Hamiltonian systems
• Ground state solutions of the periodic discrete coupled nonlinear Schrödinger equations
• Unnamed Item
• Unnamed Item