On Harnack inequalities and singularities of admissible metrics in the Yamabe problem

Trudinger, Neil; Wang, Xu-Jia

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On Harnack inequalities and singularities of admissible metrics in the Yamabe problem

Date

2009

Authors

Trudinger, Neil

Wang, Xu-Jia

Publisher

Springer

Abstract

In this paper we study the local behaviour of admissible metrics in the k-Yamabe problem on compact Riemannian manifolds (M, g 0) of dimension n ≥3. For n/2 < k < n, we prove a sharp Harnack inequality for admissible metrics when (M, g 0) is not conform

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http://hdl.handle.net/1885/31987

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ANU Research Publications

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Calculus of Variations and Partial Differential Equations

Type

Journal article

DOI

10.1007/s00526-008-0207-0

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2037-12-31

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On Harnack inequalities and singularities of admissible metrics in the Yamabe problem

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