Multiplicity result for a nonhomogeneous Yamabe type equation involving the Kohn Laplacian

We consider the nonhomogeneous Yamabe equation on a bounded set of the Heisenberg group −ΔHu=|u|q∗−2u+f, where f is a small perturbation in the C0 sense. Under suitable hypotheses, we will state a multiplicity existence result for positive solutions with zero Dirichlet boundary conditions.