CINECA IRIS Institutional Research Information System
IRIS è la soluzione IT che facilita la raccolta e la gestione dei dati relativi alle attività e ai prodotti della ricerca. Fornisce a ricercatori, amministratori e valutatori gli strumenti per monitorare i risultati della ricerca, aumentarne la visibilità e allocare in modo efficace le risorse disponibili.
EnglishWe show that any harmonic (with respect to the Bergman metric) vector field tangent to the Levi distribution of the foliation by level sets of the defining function $\varphi (z)=- K(z,z)^{-1/(n+1)}$ of a strictly pseudoconvex bounded domain $\Omega \subset \mathbb{C}^n$ which is smooth up to the boundary must vanish on $\partial \Omega$. If $n \neq 5$ and $u T$ is a harmonic vector field with $u \in C^2(\overline{\Omega})$ then $u|_{\partial \Omega} = 0$.
| Titolo: | On the Dirichlet problem for the harmonic vector fields equation |
| Autori: | |
| Data di pubblicazione: | 2007 |
| Rivista: | |
| Abstract: | We show that any harmonic (with respect to the Bergman metric) vector field tangent to the Levi distribution of the foliation by level sets of the defining function $\varphi (z)=- K(z,z)^{-1/(n+1)}$ of a strictly pseudoconvex bounded domain $\Omega \subset \mathbb{C}^n$ which is smooth up to the boundary must vanish on $\partial \Omega$. If $n \neq 5$ and $u T$ is a harmonic vector field with $u \in C^2(\overline{\Omega})$ then $u|_{\partial \Omega} = 0$. |
| Handle: | http://hdl.handle.net/11563/6239 |
| Appare nelle tipologie: | 1.1 Articolo su Rivista |
File in questo prodotto:
http://hdl.handle.net/11563/6239
Copyright © 2018