Hardy's inequality for $W^{1,p}_0$-functions on Riemannian manifolds.
In: Proceedings of the American Mathematical Society, Jg. 127 (1999-09-01), Heft 9, S. 2745-2754
Online
academicJournal
Zugriff:
We prove that for every Riemannian manifold $ \mathcal{X}$ with the isoperimetric profile of particular type there holds an inequality of Hardy type for functions of the class $W_0^{1,p}( \mathcal{X})$. We also study manifolds satisfying Hardy's inequality and, in particular, we establish an estimate for the rate of growth of the weighted volume of the noncompact part of such a manifold. [ABSTRACT FROM AUTHOR]
Copyright of Proceedings of the American Mathematical Society is the property of American Mathematical Society and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Titel: |
Hardy's inequality for $W^{1,p}_0$-functions on Riemannian manifolds.
|
---|---|
Autor/in / Beteiligte Person: | Miklyukov, Vladimir M. ; Vuorinen, Matti K. |
Link: | |
Zeitschrift: | Proceedings of the American Mathematical Society, Jg. 127 (1999-09-01), Heft 9, S. 2745-2754 |
Veröffentlichung: | 1999 |
Medientyp: | academicJournal |
ISSN: | 0002-9939 (print) |
DOI: | 10.1090/S0002-9939-99-04849-2 |
Schlagwort: |
|
Sonstiges: |
|