Sha Li

HOMOCLINIC SOLUTIONS OF NONPERIODIC FOURTH-ORDER $\phi_{c}$-LAPLACIAN PARTIAL DIFFERENCE EQUATIONS

In this paper, we investigate the existence of nontrivial homoclinic solutions for a class of nonperiodic fourth-order partial difference equations involving $\phi_{c}$-Laplacian. By the Mountain Pass Lemma and Fountain Theorem, we establish two key results: (1) Under mild nonlin...