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Uniform bounds for quotients of Green functions on $C^{1,1}$-domains

Uniform bounds for quotients of Green functions on $C^{1,1}$-domains

Let Δu=Σ i ∂ 2 ∂ x i 2 , Lu=Σ i,j a ij ∂ 2 ∂x i ∂x j u+Σ i b i ∂ ∂x i u+cu be elliptic operators with Hölder continuous coefficients on a bounded domain Ω⊂R n of class C 1,1 . There is a constant …