Large Constant‐Sign Solutions for Bvps of the Partial Difference Equation Involving (p,q)‐Laplacian

ABSTRACT Large constant‐sign solutions for boundray value problems (Bvps) of the partial difference equation involving ‐Laplacian are investigated in this paper. It is the first time to consider such problem based on critical point theory and truncation techniques. Even reducing to the ordinary difference equations, our results generalize and significantly improve some existing ones. In the end, the obtained results are exemplified based on two examples.