Existence and nonexistence of positive solutions to a class of nonlocal discrete Kirchhoff type equations

Abstract

In this paper, we investigate the existence and nonexistence of positive solutions to a class of nonlocal partial difference equations via a variant version of the mountain pass theorem. The conditions in our obtained results release the classical (AR) condition in some sense.

Keywords

• difference equation
• positive solution
• mountain pass theorem
• existence
• nonexistence