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We study the following semilinear biharmonic equation: ∆ 2 u = λ f (x) (1−u) 2 , x ∈ B R , where 0 ≤ f ≤ 1 and B R ⊂ R N , N ≥ 1, is the ball centered in the origin of radius R. We prove, under Dirichlet boundary conditions u = ∂u/∂η = 0 on ∂B R , the existence of λ * = λ * (R, f) > 0 such that for λ ∈ (0, λ *) there exists a minimal (classical) solution u(More)
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