Sharp Sobolev inequalities with lower order remainder terms

DOI10.1090/S0002-9947-00-02698-2zbMath0968.58012MaRDI QIDQ4510033

Michel Vaugon, Olivier Druet, Emmanuel Hebey

Publication date: 19 October 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Sobolev embedding theoremSobolev-Poincaré inequalitysharp Sobolev inequalityCartan-Hadamard conjecturesmooth compact Riemannian \(n\)-manifold

Mathematics Subject Classification ID

Variational inequalities (global problems) in infinite-dimensional spaces (58E35)

Related Items (9)

Compactness results for divergence type nonlinear elliptic equations ⋮ Best constants in second-order Sobolev inequalities on Riemannian manifolds and applications. ⋮ Extremal maps in best constants vector theory. I: Duality and compactness ⋮ Sharp Sobolev-Poincaré inequalities on compact Riemannian manifolds ⋮ Extremal maps in Sobolev type inequalities: some remarks ⋮ On the compactness problem of extremal functions to sharp Riemannian \(L^p\)-Sobolev inequalities ⋮ The second Sobolev best constant along the Ricci flow ⋮ Sharp Sobolev inequalities involving boundary terms revisited ⋮ A sharp Sobolev inequality of Riemannian manifolds.

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