Generalized harmonic functions of Riemannian manifolds with ends
| Наименование публикации | Generalized harmonic functions of Riemannian manifolds with ends |
| Тип публикации | Статья |
| Библиографическое описание | Generalized harmonic functions of Riemannian manifolds with ends / Korolkov S.A., Losev A.G. // Mathematische Zeitschrift. - 2012. — V.272. - N.1-2. - P.459-472 |
| Аннотация | We study L-harmonic functions (solutions of the stationary Schrodinger equation) on arbitrary noncompact Riemannian manifolds with ¯nitely many ends. We establish some existence and uniqueness results, and obtain sharp dimension estimates for L-harmonic functions on such manifolds. |
| Ключевые cлова | Liouville theorem, Riemannian manifold, L-harmonic function, boundary problems for L-harmonic functions |
| Год публикации | 2012 |
| Автор(ы) |
Корольков Сергей Алексеевич
Лосев Александр Георгиевич
|
| Электронная копия публикации | Загрузить |