Three solutions to discrete anisotropic problems with two parameters

TL;DR

This paper introduces a new critical point theorem and applies it to find multiple solutions for discrete anisotropic problems involving two parameters.

Contribution

It presents a novel three critical point theorem and demonstrates its application to discrete anisotropic problems with two parameters.

Findings

Established a new critical point theorem.

Proved multiplicity of solutions for specific discrete problems.

Extended theory to anisotropic problems with parameters.

Abstract

In this note we derive a type of a three critical point theorem which we further apply to investigate the multiplicity of solutions to discrete anisotropic problems with two parameters.