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Optimal Liouville-type Theorems for Noncooperative Elliptic Schrödinger Systems and Applications

✍ Scribed by Pavol Quittner; Philippe Souplet

Publisher
Springer
Year
2012
Tongue
English
Weight
279 KB
Volume
311
Category
Article
ISSN
0010-3616

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📜 SIMILAR VOLUMES

Gradient Estimates and a Liouville Type
Gradient Estimates and a Liouville Type Theorem for the Schrödinger Operator
✍ 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