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 |
✦ LIBER ✦
A Poincaré-Sobolev type inequality on compact Riemannian manifolds with boundary
✍ Scribed by David Holcman; Emmanuel Humbert
- Publisher
- Springer-Verlag
- Year
- 2001
- Tongue
- French
- Weight
- 223 KB
- Volume
- 237
- Category
- Article
- ISSN
- 0025-5874
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