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- W2029190040 abstract "Abstract Let Ω be a bounded domain in R n with smooth boundary Γ. We obtain existence results for the solutions of the biharmonic boundary value problems, -Δ 2 u + ⋋ 2 1 u + g(x, u) = f , in Ω, u = Δu = 0 on Γ; -Δ2u + g(x, u) = f, Ω, ∂u/∂n = ∂(Δu)/∂n = 0 , on Γ when g(x, u) has linear growth in u and f is in certain subclass of L p (Ω) . In the first problem, ⋋1 is the first eigenvalue of the eigenvalue problem -Δu = ⋋u in Ω and u = 0 on Γ." @default.
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- W2029190040 date "1994-09-01" @default.
- W2029190040 modified "2023-09-26" @default.
- W2029190040 title "Lp-Solvability of a fourth-order boundary-value problem at resonance" @default.
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