Gradient Estimates and a Liouville Type
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E.R. Negrin
📂
Article
📅
1995
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Elsevier Science
🌐
English
⚖ 164 KB
In this paper, we derive a Liouville type theorem on a complete Riemannian manifold without boundary and with nonnegative Ricci curvature for the equation \(\Delta u(x)+h(x) u(x)=0\), where the conditions \(\lim _{r \rightarrow x} r^{-1} \cdot \sup _{x \in B_{p}(r)}|\nabla h(x)|=0\) and \(h \geqslan