Three weak solutions for a class of Neumann boundary value systems involving the (p1,...,pn)-Laplacian

Résumé

In this paper, we establish the existence of two intervals of
positive real parameters $\lambda$ for which a class of Neumann
boundary value equations involving the (p1,...,pn)-Laplacian
admits three weak solutions, whose norms are uniformly bounded with
respect to $\lambda$ belonging to one of the two intervals. The
approach is based on variational methods.