A local and nonlocal coupling model involving the p-Laplacian

In this paper we extend some results presented in {julio} to the case of the p-Laplacian operator. More precisely, we consider a model that couples a local p-Laplacian operator with a nonlocal p-Laplacian operator through source terms in the equation. The resulting problem is associated with an energy functional. We establish the existence and uniqueness of a solution, which is obtained via the direct minimization of the corresponding energy functional.