Optimal Constants in Critical Sobolev Inequalities on Riemannian Manifolds in the Presence of Symmetries |
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| Authors: | Faget,Zoé |
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| Affiliation: | (1) Institut de Mathématiques, Université Paris VI, Equipe Géométrie et Dynamique, 175 rue Chevaleret, 75013 Paris, France |
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| Abstract: | We prove a theorem on the existence of a `second best constant' incritical Sobolev inequalities on compact Riemannian manifolds underthe action of an isometry group. The theorem is then applied toseveral examples initially introduced by different authors. |
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| Keywords: | best constants second best constant Sobolev inequalities isometries |
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