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The talk deals with some recent multiplicity results, jointly obtained with P. Candito and S. Carl, for a parametric Dirichlet quasilinear problem. In particular, it will be shown how the combined use of variational methods and the sub-supersolution techniques assures the existence of explicit intervals of parameters for which the problem under examination admits multiple solutions satisfying some sign conditions, as well an a priori estimate. An alternative approach based on the pseudomonotone operator theory will be also outlined. |
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