Abstract
In this paper, under m-Bakry–Emery (or $$\infty $$ -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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