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A Note on the Existence of Positive Green's Function

โœ Scribed by Chiung-Jue Anna Sung

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
225 KB
Volume
156
Category
Article
ISSN
0022-1236

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โœฆ Synopsis

It is an important problem to determine when a complete noncompact Riemannian manifold admits a positive Green's function. In this regard, one tries to seek geometric assumptions which are stable with respect to uniform perturbations of the metric. In this note, we obtained some results in this direction, generalizing some earlier results of Li and Tam.

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