Best constants in second-order Sobolev inequalities on compact Riemannian manifolds in the presence of symmetries

Authors

MOHAMMED ALI

DOI

10.3906/mat-0907-115

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.

Keywords

Best constants, compact Riemannian manifolds, Sobolev inequalities, isometries

First Page

601

Last Page

612

Recommended Citation

ALI, MOHAMMED (2012) "Best constants in second-order Sobolev inequalities on compact Riemannian manifolds in the presence of symmetries," Turkish Journal of Mathematics: Vol. 36: No. 4, Article 11. https://doi.org/10.3906/mat-0907-115
Available at: https://journals.tubitak.gov.tr/math/vol36/iss4/11