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

摘要

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.