Optimal constants in the exceptional case of Sobolev inequalities on Riemannian manifolds

DOI10.1090/S0002-9947-07-04308-5zbMath1138.46021WikidataQ115289075 ScholiaQ115289075MaRDI QIDQ5442132

Zoé Faget

Publication date: 15 February 2008

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

zbMATH Keywords

best constantsconcentration phenomenonoptimal Sobolev inequalitiesexceptional case

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Global Riemannian geometry, including pinching (53C20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Inequalities involving derivatives and differential and integral operators (26D10) Real-valued functions on manifolds (58C05)

Related Items (2)

Onofri inequalities and rigidity results ⋮ Exponential elliptic boundary value problems on a solid torus in the critical of supercritical case

Cites Work

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• Regularity for a more general class of quasilinear equations
• Meilleures constantes dans le théorème d'inclusion de Sobolev et un théorème de Fredholm non linéaire pour la transformation conforme de la courbure scalaire
• Nonlinear elliptic equations on \(S_n\) in the supercritical case
• Best Sobolev constants and Emden equations for the critical exponent in \(S^3\)
• The best constants problem in Sobolev inequalities
• Sobolev spaces in the presence of symmetries
• Optimal constants in critical Sobolev inequalities on Riemannian manifolds in the presence of symmetries
• Best constants in Sobolev inequalities on Riemannian manifolds in the presence of symmetries
• Sobolev spaces on Riemannian manifolds
• Best constants in the Sobolev imbedding theorem
• Local behavior of solutions of quasi-linear equations
• Best constants in the exceptional case of Sobolev inequalities
• ASYMPTOTIC PROFILE FOR THE SUB-EXTREMALS OF THE SHARP SOBOLEV INEQUALITY ON THE SPHERE
• Green’s function, harmonic transplantation, and best Sobolev constant in spaces of constant curvature
• Generalized scalar curvature type equations on compact Riemannian manifolds
• On harnack type inequalities and their application to quasilinear elliptic equations
• Extremal functions for optimal Sobolev inequalities on compact manifolds

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