Variational approaches to p-Laplacian discrete problems of Kirchhoff-type

DOI10.1080/10236198.2017.1306061zbMath1371.39002OpenAlexW2603233081MaRDI QIDQ5358995

Giuseppe Caristi, Shapour Heidarkhani, Johnny Henderson, Ghasem Alizadeh Afrouzi, Shahin Moradi

Publication date: 22 September 2017

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2017.1306061

zbMATH Keywords

variational methodscritical point theorydiscrete boundary value problemnonlinear difference equationsinfinitely many solutionsKirchhoff-type problemone solution

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) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60) Existence of solutions of dynamical problems in solid mechanics (74H20) General theory of difference equations (39A05)

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Infinitely many solutions for the discrete Schrödinger equations with a nonlocal term ⋮ Variational approaches to \(P(X)\)-Laplacian-like problems with Neumann condition originated from a capillary phenomena ⋮ Global bifurcation and constant sign solutions of discrete boundary value problem involving \(p\)-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 weak solution for \(p\)-Kirchoff type problem via topological degree ⋮ Three solutions for discrete anisotropic Kirchhoff-type problems ⋮ \(p(x)\)-Kirchhoff-type problem with no-flux boundary conditions and convection ⋮ Weak solution to p(x)-Kirchoff type problems under no-flux boundary condition by topological degree ⋮ Solutions for discrete Schrödinger equations with a nonlocal term ⋮ Discrete Kirchhoff equations with sign-changing coefficients ⋮ An existence result for discrete anisotropic equations ⋮ On an anisotropic discrete boundary value problem of Kirchhoff type ⋮ An analysis of nonlocal difference equations with finite convolution coefficients

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