Existence and multiplicity results of homoclinic solutions for the DNLS equations with unbounded potentials

DOI10.1155/2012/703596zbMath1253.39008OpenAlexW2151900472WikidataQ58696613 ScholiaQ58696613MaRDI QIDQ1925416

Defang Ma, Zhan Zhou

Publication date: 18 December 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/703596

zbMATH Keywords

existencemultiplicitymountain pass theoremdifference equationshomoclinic solutionsfountain theoremdiscrete nonlinear Schrödinger equation

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12)

Related Items (9)

Multiple solutions of discrete Schrödinger equations with growing potentials ⋮ Ground state solutions for periodic discrete nonlinear Schrödinger equations ⋮ Multiple homoclinic solutions for the discrete \(p\)-Laplacian via critical point theory ⋮ Discrete Schrödinger equations in the nonperiodic and superlinear cases: homoclinic solutions ⋮ Ground state solutions for periodic discrete nonlinear Schrödinger equations with saturable nonlinearities ⋮ Homoclinic solutions of a class of nonperiodic discrete nonlinear systems in infinite higher dimensional lattices ⋮ Multiplicity results of breathers for the discrete nonlinear Schrödinger equations with unbounded potentials ⋮ HOMOCLINIC SOLUTIONS OF DISCRETE NONLINEAR SYSTEMS VIA VARIATIONAL METHOD ⋮ Ground state solutions for periodic discrete Schrödinger equations with local super-quadratic conditions

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