Title of article :
Best constants in second-order Sobolev inequalities on compact Riemannian manifolds in the presence of symmetries
Author/Authors :
Ali, Mohammed Jordan University of Science and Technology - Department of Mathematics and Statistics, JORDAN
Abstract :
Let (M,g) be a smooth compact 3 ≤ 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
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
