Positive Solutions for Dirichlet BVP of PDE Involving \({\varphi_{p}}\)-Laplacian

Abstract

In this paper, we investigate the existence of infinitely many small solutions for problem (fφp) involving φp-Laplacian by exploiting critical point theory. Moreover, the present study first attempts to address discrete Dirichlet problems with φp-Laplacian in relation to some relative existing references. As far as we know, this research of the partial discrete bvp involves φp-Laplacian for the first time. Our results are illustrated with three examples.