Some Remarks on Biharmonic Elliptic Problems with a Singular Nonlinearity

Baishun Lai

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We study the following semilinear biharmonic equation Δ2u = λ/1 − u , in 𝔹, and u = ∂u/∂n = 0, on ∂𝔹, where 𝔹 is the unit ball in ℝ n and n is the exterior unit normal vector. We prove the existence of λ* > 0 such that for λ ∈ (0, λ*) there exists a minimal (classical) solution u̲λ, which satisfies 01

Date: 2014
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https://doi.org/10.1155/2014/896902

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:896902

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