Article ID Journal Published Year Pages File Type
9495478 Journal of Functional Analysis 2005 16 Pages PDF
Abstract
Let Ω⊂Rn be a bounded domain of class C2+α, 0<α<1. We show that if n⩾3 and uΩ is the maximal solution of equation Δu=n(n-2)u(n+2)/(n-2) in Ω, then the hyperbolic radius vΩ=uΩ-2/(n-2) is of class C2+α up to the boundary. The argument rests on a reduction to a nonlinear Fuchsian elliptic PDE.
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Physical Sciences and Engineering Mathematics Algebra and Number Theory
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