Heteroclinic solutions for a difference equation involving the mean curvature operator

By using critical point theory, the existence of heteroclinic solutions for a second-order difference equation involving the mean curvature operator is obtained, and the values of solutions at -infinity and +infinity are more general than existing results in the literature. An example is presented to demonstrate the applicability of our main results. (c) 2023 Elsevier Ltd. All rights reserved.