CR Gradient Estimate for the Positive Eigenfunction of Witten Sub-Laplacian

摘要

In this paper, under m-Bakry-Emery (or infinity-Bakry-Emery) pseudohermitian Ricci curvature condition, we derive subgradient estimate for positive solutions of Delta(H,)(phi)u(x) = -lambda u(x) on a weighted complete noncompact pseudohermitian manifold which satisfies the sub-Laplacian comparison property.

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