The existence of solutions for a second-order discrete Neumann problem with a \(p\)-Laplacian

DOI10.1007/s12190-007-0012-5zbMath1156.39009OpenAlexW1966183411MaRDI QIDQ949263

Weigao Ge, Yu Tian

Publication date: 21 October 2008

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

Full work available at URL: https://doi.org/10.1007/s12190-007-0012-5

zbMATH Keywords

mountain pass theoremcritical point theorymultiple solutions\(p\)-Laplaciandiscrete Neumann boundary value problem

Mathematics Subject Classification ID

Related Items (16)

Constant-sign solutions for a nonlinear Neumann problem involving the discrete p-Laplacian ⋮ Ground state and mountain pass solutions for discrete \(p(\cdot)\)-Laplacian ⋮ Periodic and subharmonic solutions for a \(2n\)th-order difference equation involving \(p\)-Laplacian ⋮ Periodic and subharmonic solutions for second order \(p\)-Laplacian difference equations ⋮ Periodic and Neumann problems for discrete \(p(\cdot )\)-Laplacian ⋮ Periodic solutions for second-order difference equations with resonance at infinity ⋮ Three solutions for a discrete nonlinear Neumann problem involving the \(p\)-Laplacian ⋮ Discrete Potential Boundary-Value Problems of Kirchhoff Type ⋮ Superlinear discrete problems ⋮ Landesman–Lazer conditions for difference equations involving sublinear perturbations ⋮ Periodic and subharmonic solutions of discrete \(p\)-Laplacian systems ⋮ Existence of periodic solutions of second order nonlinear \(p\)-Laplacian difference equations ⋮ Existence of solutions for discretep-Laplacian with potential boundary conditions ⋮ Multiple solutions for a second-order impulsive Sturm-Liouville equation ⋮ Homoclinic orbits and subharmonics for second order \(p\)-Laplacian difference equations ⋮ Existence of periodic solutions for a \(2n\)th-order difference equation involving \(p\)-Laplacian

Cites Work

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• Three positive fixed points of nonlinear operators on ordered Banach spaces
• Existence of multiple solutions for second-order discrete boundary value problems
• Fixed sign solutions of second-order difference equations with Neumann boundary conditions
• Multiple positive solutions of singular and nonsingular discrete problems via variational methods
• Multiple positive solutions of four point boundary value problems for finite difference equations†
• PERIODIC SOLUTIONS OF SECOND ORDER SELF-ADJOINT DIFFERENCE EQUATIONS
• Multiple positive solutions of boundary value problems for second-order discrete equations on the half-line

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