Three solutions for a discrete nonlinear Neumann problem involving the \(p\)-Laplacian

DOI10.1155/2010/862016zbMath1207.39005OpenAlexW2050869244WikidataQ59253419 ScholiaQ59253419MaRDI QIDQ623600

Giuseppina D'Aguì, Pasquale Candito

Publication date: 8 February 2011

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2010/862016

zbMATH Keywords

critical points\(p\)-Laplacianthree solutionsdiscrete nonlinear Neumann boundary value problem

Mathematics Subject Classification ID

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

Related Items (26)

On the linear and nonlinear discrete second-order Neumann boundary value problems ⋮ Variational approach to anti-periodic boundary value problems involving the discrete \(p\)-Laplacian ⋮ Global structure of positive solutions for second-order discrete Neumann problems involving a superlinear nonlinearity with zeros ⋮ Constant-sign solutions for a nonlinear Neumann problem involving the discrete p-Laplacian ⋮ Three positive solutions for a nonlinear partial discrete Dirichlet problem with \((p,q)\)-Laplacian operator ⋮ Positive solutions for a discrete two point nonlinear boundary value problem with \(p\)-Laplacian ⋮ Constant sign solutions for parameter-dependent superlinear second-order difference equations ⋮ On variational and topological methods in nonlinear difference equations ⋮ On the solvability of discrete nonlinear Neumann problems involving the \(p(x)\)-Laplacian ⋮ Perturbed Kirchhoff-type \(p\)-Laplacian discrete problems ⋮ Triple solutions for a Dirichlet boundary value problem involving a perturbed discrete \(p(k)\)-Laplacian operator ⋮ Existence of at least one homoclinic solution for a nonlinear second-order difference equation ⋮ Discrete Potential Boundary-Value Problems of Kirchhoff Type ⋮ Infinitely many solutions for a class of fractional boundary value problem with $p$-Laplacian with impulsive effects ⋮ Superlinear discrete problems ⋮ Existence of solutions for discrete boundary value problems with second order dependence on parameters ⋮ Weak Solutions of Anti-periodic Discrete Nonlinear Problems ⋮ A variational approach to difference equations ⋮ On the multiplicity of solutions of a discrete Robin problem with variable exponents ⋮ On the solvability of discrete nonlinear two-point boundary value problems ⋮ Two Positive Solutions for a Nonlinear Neumann Problem Involving the Discrete p-Laplacian ⋮ Existence of three weak solutions for a perturbed anisotropic discrete Dirichlet problem ⋮ Existence of three solutions for a discrete anisotropic boundary value problem ⋮ Multiplicity results for a \(p\)-Laplacian discrete problems of Kirchhoff type ⋮ Positive solutions for the Neumann \(p\)-Laplacian ⋮ Existence of infinitely many solutions for a class of difference equations with boundary value conditions involving p(k)-Laplacian operator

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