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We consider a nonlinear, nonhomogeneous Dirichlet problem driven by the sum of a p-Laplacian and a Laplacian, 2 < p < ∞ ((p, 2)-equation) and with a reaction which exhibits asymmetric behavior at +∞ and at -∞ and is resonant. Using variational methods together with Morse theoretic arguments, we prove the existence of two and three nontrivial solutions.
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Papageorgiou et al. (2014) studied this question.
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