Heteroclinic solutions for a class of \(p\)-Laplacian difference equations with a parameter

DOI10.1016/j.aml.2019.106034zbMath1425.39006OpenAlexW2972185439MaRDI QIDQ2338262

Juhong Kuang, Zhiming Guo

Publication date: 21 November 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.106034

zbMATH Keywords

\(p\)-Laplaciandifference equationheteroclinic solution

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Discrete version of topics in analysis (39A12) Difference operators (39A70)

Related Items (12)

Three solutions for a partial discrete Dirichlet boundary value problem with \(p\)-Laplacian ⋮ Existence of two homoclinic solutions for a nonperiodic difference equation with a perturbation ⋮ Multiple solutions of fourth-order functional difference equation with periodic boundary conditions ⋮ Positive solutions for a class of discrete mixed boundary value problems with the \(\left( p, q\right)\)-Laplacian operator ⋮ Heteroclinic solutions for a difference equation involving the mean curvature operator ⋮ Homoclinic solutions for partial difference equations with mixed nonlinearities ⋮ Homoclinic solutions of discrete \(p\)-Laplacian equations containing both advance and retardation ⋮ Infinitely many solutions for discrete boundary value problems with the \((p, q)\)-Laplacian operator ⋮ On the multiplicity of solutions for the discrete boundary problem involving the singular \(\phi\)-Laplacian ⋮ On an anisotropic discrete boundary value problem of Kirchhoff type ⋮ Existence of solutions for the discrete Dirichlet problem involving \(p\)-mean curvature operator ⋮ Minimal period problem for second-order Hamiltonian systems with asymptotically linear nonlinearities

Cites Work

• Existence of homoclinic constant sign solutions for a difference equation on the integers
• Positive solutions for a discrete two point nonlinear boundary value problem with \(p\)-Laplacian
• Multiple homoclinic solutions for the discrete \(p\)-Laplacian via critical point theory
• Existence of homoclinic solutions for higher-order periodic difference equations with \(p\)-Laplacian
• Existence of heteroclinic solutions for discrete \(p\)-Laplacian problems with a parameter
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Variational approach to anti-periodic boundary value problems involving the discrete \(p\)-Laplacian
• Constant-sign solutions for a nonlinear Neumann problem involving the discrete p-Laplacian

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