Perturbed Kirchhoff-type \(p\)-Laplacian discrete problems

DOI10.1007/s13348-016-0180-4zbMath1392.39002OpenAlexW2519827570MaRDI QIDQ2404864

Giuseppe Caristi, Shapour Heidarkhani, Amjad Salari

Publication date: 21 September 2017

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

Full work available at URL: https://doi.org/10.1007/s13348-016-0180-4

zbMATH Keywords

critical point theoryvariational methodLipschitz conditionKirchhoff-type equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Population dynamics (general) (92D25) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Difference operators (39A70) Existence of solutions of dynamical problems in solid mechanics (74H20) General theory of difference equations (39A05)

Related Items (10)

Infinitely many solutions for the discrete Schrödinger equations with a nonlocal term ⋮ A variational approach to perturbed discrete anisotropic equations ⋮ Triple solutions for a Dirichlet boundary value problem involving a perturbed discrete \(p(k)\)-Laplacian operator ⋮ Three solutions for discrete anisotropic Kirchhoff-type problems ⋮ Anisotropic discrete boundary value problems ⋮ On the multiplicity of solutions of a discrete Robin problem with variable exponents ⋮ Positive solutions and eigenvalue intervals for a second order \(p\)-Laplacian discrete system ⋮ Solutions for discrete Schrödinger equations with a nonlocal term ⋮ Discrete Kirchhoff equations with sign-changing coefficients ⋮ An analysis of nonlocal difference equations with finite convolution coefficients

Cites Work

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• Existence of multiple solutions of Kirchhoff type equation with sign-changing potential
• On sequences of solutions for discrete anisotropic equations
• Three solutions for a discrete nonlinear Neumann problem involving the \(p\)-Laplacian
• Multiplicity of solutions for \(p(x)\)-polyharmonic elliptic Kirchhoff equations
• The critical Neumann problem of Kirchhoff type
• Multiplicity results for a \(p\)-Laplacian discrete problems of Kirchhoff type
• Nonlinear algebraic systems with discontinuous terms
• Three solutions to Dirichlet boundary value problems for \(p\)-Laplacian difference equations
• On an elliptic Kirchhoff-type problem depending on two parameters
• The multiplicity of solutions for perturbed second-order Hamiltonian systems with impulsive effects
• Multiple solutions for a discrete boundary value problem involving the \(p\)-Laplacian
• A three critical points theorem revisited
• Nonlinear difference equations investigated via critical point methods
• Multiple solutions for discrete boundary value problems
• A further three critical points theorem
• Positive periodic solutions for nonlinear difference equations with periodic coefficients
• Existence of multiple solutions for second-order discrete boundary value problems
• Eigenvalues and discrete boundary value problems for the one-dimensional \(p\)-Laplacian
• Existence and uniqueness results for discrete second-order periodic boundary value problems
• On the generalized Apostol-type Frobenius-Euler polynomials
• Three positive solutions of boundary value problems for \(p\)-Laplacian difference equations
• Positive solutions for a quasilinear elliptic equation of Kirchhoff type
• On some variational algebraic problems
• Sequences of Weak Solutions for Non-Local Elliptic Problems with Dirichlet Boundary Condition
• On the existence of stationary solutions for higher-order p-Kirchhoff problems
• Blow up at infinity of solutions of polyharmonic Kirchhoff systems
• LIFESPAN ESTIMATES FOR SOLUTIONS OF POLYHARMONIC KIRCHHOFF SYSTEMS
• Existence of three solutions for perturbed nonlinear difference equations
• Eigenvalue problems for anisotropic discrete boundary value problems
• Existence of three solutions for impulsive perturbed elastic beam fourth-order equations of Kirchhoff-type
• Infinitely many solutions for perturbed difference equations
• Existence of a non-trivial solution for nonlinear difference equations
• Variational approaches to p-Laplacian discrete problems of Kirchhoff-type
• SUPPRESSION OF VIBRATION IN THE AXIALLY MOVING KIRCHHOFF STRING BY BOUNDARY CONTROL
• Mountain pass solutions for nonlocal equations
• Applications of local linking to nonlocal Neumann problems
• Existence of three solutions for a class of elliptic eigenvalue problems

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