Turkish Journal of Mathematics

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

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.

DOI

10.3906/mat-0907-115

Keywords

Best constants, compact Riemannian manifolds, Sobolev inequalities, isometries

First Page

601

Last Page

612

Recommended Citation

ALI, M (2012). Best constants in second-order Sobolev inequalities on compact Riemannian manifolds in the presence of symmetries. Turkish Journal of Mathematics 36 (4): 601-612. https://doi.org/10.3906/mat-0907-115

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