Remarks on p-Laplacian problems depending on the gradient

Abstract

This paper collects and summarizes results of existence of positive solutions for the p-Laplacian problem −Δpu = ω(x)f(u,|∇u|) with Dirichlet boundary condition in a bounded domain Ω ⊂ RN where w is a weight function and also for the problem in two positive parameters λ and β: (Formula presented.).