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 − Δ H u = | u | q ∗ − 2 u + f , where f is a small perturbation in the C 0 sense. Under suitable hypotheses, we will state a multiplicity existence result for positive solutions with zero Dirichlet boundary conditions.