Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841285 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 14 Pages |
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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Authors
Sonia Ben Othman, Habib Mâagli, Syrine Masmoudi, Malek Zribi,