Abstract

We study the pointwise boundary behavior of the ∞-Laplacian problem Δ∞u=b(x)f(u),u≥0,x∈Ω,u|∂Ω=∞, where b∈C(Ω¯) is positive in Ω, f∈C[0,∞)∩C1(0,∞) is positive and nondecreasing on (0,∞) and satisfies an Keller–Osserman type condition.

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