| Abstract: |
| We consider a nonlinear nonhomogeneous eliptic equation driven by the sum of a $p$-Laplacian and of $q$-Laplacian(a $(p,q)$-equation). The reaction term is a Caratheodory function which is resonant at $\pm\infty$ with respect to any nonprincipal variational eigenvalue of the Robin $p$-Laplacian. Morse theory (critical groups) with variational methods), help us to prove the existence of at least three nontrivial smooth solutions.
\footnote{The publication of this paper has been partly supported by the University of Piraeus Research Center}} |
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