Triple solutions for nonlinear elliptic problems driven by a non-homogeneous operator

Abstract

Some multiplicity results for a parametric nonlinear Dirichlet problem involving a nonhomogeneous differential operator of p-Laplacian type are given. Via variational methods, the article furnishes new contributions and completes some previous results obtained for problems considering other types of differential operators and/or nonlinear terms satisfying different asymptotic conditions.