On the discrete boundary value problem for anisotropic equation

DOI10.1016/j.jmaa.2011.08.053zbMath1233.39004arXiv1105.3797OpenAlexW1968416853MaRDI QIDQ643605

Szymon Głąb, Marek Galewski

Publication date: 2 November 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3797

zbMATH Keywords

variational methodmountain pass lemmathree critical point theoremanisotropic difference equationsdiscrete boundary values problemsEuler functional

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items (26)

Existence of solutions for \(p\)-Laplacian discrete equations ⋮ Existence and multiplicity of solutions to discrete inclusions with thep(k)-Laplacian problem ⋮ Multiplicity of solutions to discrete inclusions with the \(p(k)\)-Laplace type equations ⋮ Constant-sign solutions for a nonlinear Neumann problem involving the discrete p-Laplacian ⋮ Existence of three solutions for perturbed nonlinear difference equations ⋮ A variational approach to perturbed discrete anisotropic equations ⋮ Ground state and mountain pass solutions for discrete \(p(\cdot)\)-Laplacian ⋮ Multiplicity results for discrete anisotropic equations ⋮ On a class of non-local discrete boundary value problepm ⋮ Periodic and Neumann problems for discrete \(p(\cdot )\)-Laplacian ⋮ On sequences of solutions for discrete anisotropic equations ⋮ Multiplicity of solutions to discrete inclusions with the \(p(k)\)-Laplace Kirchhoff type equations ⋮ Existence of at least one homoclinic solution for a nonlinear second-order difference equation ⋮ Discrete Potential Boundary-Value Problems of Kirchhoff Type ⋮ The existence of solutions of periodic BVP for second order impulsive differential equations ⋮ 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 ⋮ Multiple solutions of boundary value problems on time scales for a φ-Laplacian operator ⋮ Multiplicity results for a \(p\)-Laplacian discrete problems of Kirchhoff type ⋮ An existence result for discrete anisotropic equations ⋮ Solutions to a boundary value problem of a fourth-order impulsive differential equation ⋮ Multiple solutions for a second-order impulsive Sturm-Liouville equation ⋮ On sequences of large homoclinic solutions for a difference equations on the integers ⋮ Three solutions to impulsive differential equations involving \(p\)-Laplacian ⋮ An eigenvalue of anisotropic discrete problem with three variable exponents ⋮ On the system of anisotropic discrete BVPs

Cites Work

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