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A granular counterpart to the gradient operator

✍ Scribed by S. Dick; W. Rodriguez; A. Kandel


Book ID
106169783
Publisher
Springer
Year
2002
Tongue
English
Weight
388 KB
Volume
6
Category
Article
ISSN
1432-7643

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πŸ“œ SIMILAR VOLUMES


Gradient Estimates and a Liouville Type
✍ E.R. Negrin πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 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