Weak heteroclinic solutions of anisotropic difference equations with variable exponent

Abstract

In this article, we prove the existence of heteroclinic solutions for a family of anisotropic difference equations. The proof of the main result is based on a minimization method, a change of variables and a discrete Holder type inequality.

Keywords

• Difference equations
• heteroclinic solutions
• anisotropic problem
• discrete Holder type inequality