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Sharp inequalities and geometric manifolds

✍ Scribed by William Beckner

Book ID
110609253
Publisher
SP Birkhäuser Verlag Boston
Year
1997
Tongue
English
Weight
597 KB
Volume
3
Category
Article
ISSN
1069-5869

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Sharp Sobolev trace inequalities on Riem
Sharp Sobolev trace inequalities on Riemannian manifolds with boundaries
✍ Yanyan Li; Meijun Zhu 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 264 KB

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, ( ∂M |