  In this paper, exploiting variational methods, the existence of three weak
solutions for a class of elliptic equations involving a general operator in
divergence form and with Dirichlet boundary condition is investigated. Several
special cases are analyzed. In conclusion, for completeness, a concrete example
of an application is presented by finding the existence of three nontrivial
weak solutions for an uniformly elliptic second-order problem on a bounded
Euclidean domain.
