Mohammed Barghouthe, Abdesslem Ayoujil, Mohammed Berrajaa

Existence of Solutions for a Fourth-Order Discrete Problem with $(p_1(k),p_2(k))$-Laplacian Operator

abstract:
The purpose of this paper is to study the existence of solutions for a non-linear fourth-order discrete problem involving the operator $(p_1(k),p_2(k))$-Laplacian under appropriate assumptions on the nonlinearity and the parameter $\lambda$, when the approach is based on the variational methods and critical point theory.

Mathematics Subject Classification: 39A10, 35J15, 39A12, 34B15

Key words and phrases: Fourth-order discrete problem, variational methods, discrete boundary value problem, critical point theory