On the discrete boundary value problem for anisotropic equation

TL;DR

This paper investigates the existence and multiplicity of solutions for discrete anisotropic boundary value problems using critical point theory methods, contributing to the mathematical understanding of such equations.

Contribution

It introduces new applications of critical point theory to analyze discrete anisotropic boundary value problems, establishing existence and multiplicity results.

Findings

Proved existence of solutions under certain conditions

Established multiple solutions for specific boundary value problems

Extended critical point theory methods to anisotropic discrete equations

Abstract

Using critical point theory methods we undertake the existence and multiplicity of solutions for discrete anisotropic two-point boundary value problems.