Nonexistence and uniqueness of positive solutions of Yamabe type equations on nonpositively curved manifolds
Author:
Abstract
We prove nonexistence and uniqueness of positive C 2 C^{2} –solutions of the elliptic equation Δ u + a ( x ) u − K ( x ) u σ = 0 \Delta u +a(x)u - K(x)u^{\sigma }=0 , σ > 1 \sigma >1 , on a nonpositively curved, complete manifold ( M , g ) (M,g) .
Publisher
American Mathematical Society (AMS)
Subject
Applied Mathematics,General Mathematics
Link
http://www.ams.org/tran/1997-349-12/S0002-9947-97-01810-2/S0002-9947-97-01810-2.pdf
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