Optimal Constants in Critical Sobolev Inequalities on Riemannian Manifolds in the Presence of Symmetries

We prove a theorem on the existence of a 'second best constant' in critical Sobolev inequalities on compact Riemannian manifolds under the action of an isometry group. The theorem is then applied to several examples initially introduced by different authors. [PUBLICATION ABSTRACT]

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Bibliographic Details
Published inAnnals of global analysis and geometry Vol. 24; no. 2; p. 161
Main Author Faget, Zoe
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Nature B.V 01.09.2003
Subjects
Geometry
Inequality
Lie groups
Orbits
Studies
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Summary:We prove a theorem on the existence of a 'second best constant' in critical Sobolev inequalities on compact Riemannian manifolds under the action of an isometry group. The theorem is then applied to several examples initially introduced by different authors. [PUBLICATION ABSTRACT]
ISSN:0232-704X
1572-9060
DOI:10.1023/A:1024410428935