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ELISABETTA TORNATORE

Two positive solutions for a Dirichlet problem with the (p,q)-Laplacian

Abstract

The aim of this paper is to prove the existence of two solutions for a nonlinear elliptic problem involving the (p,q) -Laplacian operator. The solutions are obtained by using variational methods and critical points theorems. The positivity of the solutions is shown by applying a generalized version of the strong maximum principle.