Existence of periodic solutions of second order nonlinear \(p\)-Laplacian difference equations

DOI10.1007/s10474-011-0137-8zbMath1249.39019OpenAlexW3137384546MaRDI QIDQ653975

Juan-Miguel Gracia

Publication date: 20 December 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-011-0137-8

zbMATH Keywords

existenceperiodic solutioncritical point theorysecond order nonlinear difference equationsaddle point theorem\(p\)-Laplacian difference equation

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Quasilinear elliptic equations with (p)-Laplacian (35J92) Periodic solutions of difference equations (39A23)

Related Items (4)

On variational and topological methods in nonlinear difference equations ⋮ Periodic and subharmonic solutions with winding number for \(p\)-Laplacian equations by the Poincaré-Birkhoff theorem ⋮ Ground-state sign-changing homoclinic solutions for a discrete nonlinear \(p\)-Laplacian equation with logarithmic nonlinearity ⋮ Periodic solutions for a second-order partial difference equation

Cites Work

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• Existence of periodic and subharmonic solutions for second-order superlinear difference equations
• On the monotonicity property for a certain class of second order differential equations
• The existence of solutions for a second-order discrete Neumann problem with a \(p\)-Laplacian
• The minimal period problem for the classical forced pendulum equation
• Critical point theory and Hamiltonian systems
• Dominant and recessive solutions of symmetric three term recurrences
• Solitary waves with prescribed speed on infinite lattices
• On the existence of positive solutions of \(p\)-Laplacian difference equations.
• Subharmonic solutions with prescribed minimal period of a discrete forced pendulum equation
• Twin positive solutions of boundary value problems for finite difference equations with \(p\)-Laplacian operator
• Multiple positive solutions of singular and nonsingular discrete problems via variational methods
• Existence of positive solutions of \(p\)-Laplacian difference equations
• Periodic solutions of a \(2n\)th-order nonlinear difference equation
• Existence of periodic and subharmonic solutions for second-order \(p\)-Laplacian difference equations
• Multiple positive solutions of singular discrete \(p\)-Laplacian problems via variational methods
• Existence results for discrete Sturm–Liouville problem via variational methods
• THE EXISTENCE OF PERIODIC AND SUBHARMONIC SOLUTIONS OF SUBQUADRATIC SECOND ORDER DIFFERENCE EQUATIONS
• Positive solutions for continuous and discrete boundary value problems to the one-dimension p-laplacian
• Existence of Three Positive Pseudo-symmetric Solutions for a One Dimensional Discretep-Laplacian
• Existence of Solutions for a One Dimensionalp-Laplacian on Time-Scales
• On some discrete variational problems

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