In this paper, we establish some sharp Sobolev trace inequalities on n-dimensional, compact Riemannian manifolds with smooth boundaries. More specifically, let We establish for any Riemannian manifold with a smooth boundary, denoted as (M, g), that there exists some constant A = A(M, g) > 0, ( βM |
Sharp trace inequalities on fractional Sobolev spaces
β Scribed by Hee Chul Pak; Young Ja Park
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 67 KB
- Volume
- 284
- Category
- Article
- ISSN
- 0025-584X
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β¦ Synopsis
Abstract
The best constant and extremal functions for Sobolev trace inequalities on fractional Sobolev spaces are achieved by a simple argument. Β© 2011 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim
π SIMILAR VOLUMES
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We obtain a log-Sobolev inequality with a neat and explicit potential for the gradient on a based loop space over a compact Riemannian manifold. The potential term relies only on the curvature of the manifold and the Hessian of the heat kernel, and is L p -integrable for all p 1. The log-Sobolev ine
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