The exact asymptotic behaviour of the unique solution to a singular Dirichlet problem

By Karamata regular variation theory, we show the existence and exact asymptotic behaviour of the unique classical solution u∈C2+α(Ω)∩C(Ω¯) near the boundary to a singular Dirichlet problem −Δu=g(u)−k(x), u>0, x∈Ω, u|∂Ω=0, where Ω is a bound...

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Bibliographic Details
Main Authors: Jianning Yu, Zhijun Zhang
Format: Article
Language:English
Published: SpringerOpen 2006-05-01
Series:Boundary Value Problems
Online Access:http://dx.doi.org/10.1155/BVP/2006/75674