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The Eilenberg-Moore Category and a Beck-type Theorem for a Morita Context

✍ Scribed by Tomasz Brzeziński; Adrian Vazquez Marquez; Joost Vercruysse


Publisher
Springer
Year
2009
Tongue
English
Weight
703 KB
Volume
19
Category
Article
ISSN
0927-2852

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Gradient Estimates and a Liouville Type
✍ E.R. Negrin 📂 Article 📅 1995 🏛 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