Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9495478 | Journal of Functional Analysis | 2005 | 16 Pages |
Abstract
Let ΩâRn 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 Îu=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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Satyanad Kichenassamy,