Ground state periodic solutions for difference equations with discrete \(p\)-Laplacian

DOI10.1016/J.AMC.2011.04.076zbMath1228.39011OpenAlexW2016290347MaRDI QIDQ555383

Petru Jebelean, Călin Şerban

Publication date: 22 July 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.04.076

zbMATH Keywords

periodic solutionslower and upper solutionsPalais-Smale conditioncritical pointnonlinear boundary value problemsdiscrete \(p\)-Laplacian operator

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Discrete version of topics in analysis (39A12) Periodic solutions of difference equations (39A23)

Related Items (9)

Periodic and subharmonic solutions with winding number for \(p\)-Laplacian equations by the Poincaré-Birkhoff theorem ⋮ Ground state and mountain pass solutions for discrete \(p(\cdot)\)-Laplacian ⋮ Periodic and Neumann problems for discrete \(p(\cdot )\)-Laplacian ⋮ Multiplicity of solutions to discrete inclusions with the \(p(k)\)-Laplace Kirchhoff type equations ⋮ Discrete Potential Boundary-Value Problems of Kirchhoff Type ⋮ On the multiplicity of solutions of a discrete Robin problem with variable exponents ⋮ Existence of periodic solutions for a class of difference systems with \(p\)-Laplacian ⋮ Morse theory and multiple periodic solutions of some quasilinear difference systems with periodic nonlinearities ⋮ Existence of solutions for discretep-Laplacian with potential boundary conditions

Cites Work

• Unnamed Item
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• On a class of semipositone discrete boundary value problems
• Periodic solutions of second order nonlinear difference equations with discrete \(\phi\)-Laplacian
• Three solutions to Dirichlet boundary value problems for \(p\)-Laplacian difference equations
• Multiple solutions for discrete boundary value problems
• Critical point theory and Hamiltonian systems
• Extremal solutions for the difference \(\phi\)-Laplacian problem with nonlinear functional boundary conditions
• Multiple positive solutions of singular and nonsingular discrete problems via variational methods
• Periodic solutions of second order discrete convex systems involving the \(p\)-Laplacian
• Multiple periodic solutions for superquadratic second-order discrete Hamiltonian systems
• Multiple positive solutions of singular discrete \(p\)-Laplacian problems via variational methods
• Existence and multiplicity results for periodic solutions of nonlinear difference equations

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