AN EXISTENCE OF THREE DIFFERENT NON-TRIVIAL SOLUTIONS FOR DISCRETE ANISOTROPIC EQUATIONS WITH TWO REAL PARAMETERS

Abstract

This study finds three different solutions (3-Sol's) for the fourth order nonlinear discrete anisotropic equations (DAE) with real parameter. We use the variational method(VM) and ϕp-Laplacian operator (ϕp-LO) to prove the main results. In the following paper, we take the parameters λ, μ such that λ>0 and μ≥0 into consideration.