We consider parametric equations driven by the sum of a p-Laplacian and a Laplace operator (the so-called (p, 2)-equations). We study the existence and multiplicity of solutions when the parameter λ > 0 is near the principal eigenvalueλ1(p) > 0 of (−∆p, W 1,p 0 (Ω)). We prove multiplicity results with precise sign information when the near resonance occurs from above and from below ofλ1(p) > 0.
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