Article ID Journal Published Year Pages File Type
841285 Nonlinear Analysis: Theory, Methods & Applications 2009 14 Pages PDF
Abstract

We take up the existence and the exact asymptotic behavior near the boundary ∂Ω∂Ω of the unique classical solution to a singular Dirichlet problem −Δu=a(x)g(u),x∈Ω,u>0 in Ω,u∣∂Ω=0, where ΩΩ is a C1,1C1,1-bounded domain in Rn,n≥2Rn,n≥2 and the function aa is singular near the boundary and belongs to the Kato class K(Ω)K(Ω).

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