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We consider a family of polyharmonic problems of the form (−∆) m u = g(x,u) in Ω, D α u = 0 on ∂Ω, where Ω ⊂ R n is a bounded domain, g(x,·) ∈ L ∞ (Ω), and |α| < m. By using the fibering method, we obtain some results about the existence of solution and its multiplicity under certain assumptions on g. We also consider a family of biharmonic problems of the… (More)

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