Behrooz Raessi

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We consider a family of polyharmonic problems of the form (−∆)mu = g(x,u) in Ω, Dαu = 0 on ∂Ω, where Ω ⊂ Rn 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 form(More)
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