Exact asymptotic behavior near the boundary to the solution for singular nonlinear Dirichlet problems Original Research Article

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 View the MathML source−Δu=a(x)g(u),x∈Ω,u>0 in Ω,u∣∂Ω=0, Turn MathJax on 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).