Asymptotics for sharp Sobolev-Poincaré inequalities on compact Riemannian manifolds.

zbMath1044.58031MaRDI QIDQ1405949

Emmanuel Hebey, Olivier Druet

Publication date: 9 January 2004

Published in: Advances in Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Sobolev embedding theoremSobolev-Poincaré inequalitybest constants

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (1)

Advances in study of Poincaré inequalities and related operators

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