On the dependence on parameters for second order discrete boundary value problems with the p(k)-Laplacian

DOI10.7494/OpMath.2014.34.4.851zbMath1330.39008MaRDI QIDQ3458998

Renata Wieteska, Joanna Smejda

Publication date: 29 December 2015

Published in: Opuscula Mathematica (Search for Journal in Brave)

zbMATH Keywords

mountain pass theoremvariational methodsdiscrete boundary value problemsnonlinear second-order discrete equations

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 (4)

Triple solutions for a Dirichlet boundary value problem involving a perturbed discrete \(p(k)\)-Laplacian operator ⋮ Existence of solutions for discrete boundary value problems with second order dependence on parameters ⋮ Existence of three weak solutions for a perturbed anisotropic discrete Dirichlet problem ⋮ An eigenvalue of anisotropic discrete problem with three variable exponents

Cites Work

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• Overview of differential equations with non-standard growth
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• Constructive proof for existence of nonlinear two-point boundary value problems
• Optimal control systems governed by second-order ODEs with Dirichlet boundary data and variable parameters
• Periodic and Neumann problems for discrete \(p(\cdot )\)-Laplacian
• Existence and multiplicity of solutions for nonlinear second order difference boundary value problems
• A note on the dependence on parameters for a nonlinear system via monotonicity theory
• A note on the well-posed anisotropic discrete BVPs
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• Eigenvalue problems for anisotropic discrete boundary value problems
• Existence and multiplicity of positive solutions for discreteanisotropic equationsExistence and multiplicity of positive solutions for discreteanisotropic equations
• On variational methods for periodic discrete problems

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