Boundary Behavior of Large Solutions for Semilinear Elliptic Equations in Borderline Cases
نویسنده
چکیده
In this article, we analyze the boundary behavior of solutions to the boundary blow-up elliptic problem ∆u = b(x)f(u), u ≥ 0, x ∈ Ω, u|∂Ω =∞, where Ω is a bounded domain with smooth boundary in RN , f(u) grows slower than any up (p > 1) at infinity, and b ∈ Cα(Ω̄) which is non-negative in Ω and positive near ∂Ω, may be vanishing on the boundary.
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