Liouville-type theorems for some complex hypoelliptic operators
✍ Scribed by Adam Korányi; Nancy K Stanton
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 316 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0022-1236
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📜 SIMILAR VOLUMES
In this paper we derive some a priori estimates on the resolvent of one dimensional Schrodinger operators from the solutions of the associated differential ëquation with real energy. In particular this implies the existence of an absolutely continuous spectrum in some situations.
We give some comparison theorems about the location of the peak of the first Dirichlet Sturm᎐Liouville eigenfunction by means of the variational method.
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