Dergiler / Turkish Journal of Mathematics / 2012 / Cilt: 36 - Sayı: 4
Best constants in second-order Sobolev inequalities on compact Riemannian manifolds in the presence of symmetries
- Sayfa
- 601–612
- DOI
- —
Özet
Let (M,g) be a smooth compact 3\leq n-dimensional Riemannian manifold, and G a subgroup of the isometry group of (M,g). We establish the best constants in second-order for a Sobolev inequality when the functions are G-invariant.
Abstract
Let (M,g) be a smooth compact 3\leq n-dimensional Riemannian manifold, and G a subgroup of the isometry group of (M,g). We establish the best constants in second-order for a Sobolev inequality when the functions are G-invariant.