Liouville Theorem for Lichnerowicz Equation on Complete Noncompact Manifolds
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概要
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In this paper, we study the gradient estimates for positive solutions to the Lichnerowicz equation Δfu + hu = Aup + Bu−q, where h, p, q, A, B are real constants and p > 1, q > 1. Moreover, by these gradient estimates, we can get some very interesting Liouville theorems.
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