On Resonant(p,2)-Equations

We consider a nonlinear nonhomogeneous elliptic equation driven by the sum of a p-Laplacian and a Laplacian ((p,2)-equation) with a Carathéodory reaction which at±∞ is resonant with respect to the principal eigenvalue of the negative Dirichletp-Laplacian. Using minimax methods based on the critical point theory, together with truncation techniques and Morse theory, we obtain multiplicity results producing three or four solutions with sign information (constantsign solutions and nodal solutions).