- Turkish Journal of Mathematics
- Vol: 36 Issue: 4
- Best constants in second-order Sobolev inequalities on compact Riemannian manifolds in the presence ...
Best constants in second-order Sobolev inequalities on compact Riemannian manifolds in the presence of symmetries
Authors : Mohammed Ali
Pages : 601-612
View : 9 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
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