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On positive entire solutions of the elliptic equation Δu + K(x)up = 0 and its applications to Riemannian geometry

Published online by Cambridge University Press:  14 November 2011

Changfeng Gui
Changfeng Gui
Affiliation:
Department of Mathematics, University of British Columbia, 121-1984 Mathematical Road, Vancouver, B.C., CanadaV6T 1Z2. e-mail: egui@math.ubc.ca
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Extract

We study the existence and asymptotic behaviour of positive solutions of a semilinear elliptic equation in entire space. A special case of this equation is the scalar curvature equation which arises in Riemannian geometry.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 126 , Issue 2 , 1996 , pp. 225 - 237
Copyright
Copyright © Royal Society of Edinburgh 1996

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