Positive solutions for nonlinear nonhomogeneous parametric equations

Abstract

We consider a nonlinear parametric Dirichlet problem driven by anonhomogeneous differential operator which includes as specialcases the $p$-Laplacian, the $(p,q)$-Laplacian and thegeneralized $p$-mean curvature operator. Using variationalmethods, we prove a bifurcation-type theorem describing thedependence of positive solutions on the parameter.