Exact Boundary Behavior of Solutions to Singular Nonlinear Dirichlet Problems
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چکیده
In this article we analyze the exact boundary behavior of solutions to the singular nonlinear Dirichlet problem −∆u = b(x)g(u) + λa(x)f(u), u > 0, x ∈ Ω, u|∂Ω = 0, where Ω is a bounded domain with smooth boundary in RN , λ > 0, g ∈ C1((0,∞), (0,∞)), lims→0+ g(s) = ∞, b, a ∈ Cα loc(Ω), are positive, but may vanish or be singular on the boundary, and f ∈ C([0,∞), [0,∞)).
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تاریخ انتشار 2014