Existence of solutions and multiple solutions for a class of weighted p(r)-Laplacian system

This paper investigates the existence of solutions for a class of weighted p(r)-Laplacian ordinary system boundary value problems, the sufficient conditions for the existence of solutions have been given via Leray–Schauder's degree, and the existence of multiple solutions has been discussed via critical point theory. As an application, we discussed the existence of the radial solutions for the p(x)-Laplacian partial differential system boundary value problems.