Sharp Sobolev inequalities in the presence of a twist

DOI10.1090/S0002-9947-07-03959-1zbMath1158.58007OpenAlexW1608535293MaRDI QIDQ3425944

Stephane Collion, Michel Vaugon, Emmanuel Hebey

Publication date: 7 March 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-07-03959-1

Mathematics Subject Classification ID

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

Related Items (6)

Optimal normed Sobolev type inequalities on manifolds. I: The Nash prototype ⋮ Extremal maps in best constants vector theory. I: Duality and compactness ⋮ On the continuity of the second Sobolev best constant ⋮ On the compactness problem of extremal functions to sharp Riemannian \(L^p\)-Sobolev inequalities ⋮ Sharp Sobolev inequalities for vector valued maps ⋮ The second Sobolev best constant along the Ricci flow

Cites Work

• Unnamed Item
• Unnamed Item
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• Elliptic equations with critical Sobolev exponents in dimension 3
• Critical functions and optimal Sobolev inequalities
• The best constant problem in the Sobolev embedding theorem for complete Riemannian manifolds
• On some nonlinear equations involving the \(p\)-Laplacian with critical Sobolev growth
• The conjectures on conformal transformations of Riemannian manifolds
• On the Grushin operator and hyperbolic symmetry
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Sharp local isoperimetric inequalities involving the scalar curvature
• Optimal Sobolev inequalities and extremal functions. The three dimensional case
• The 𝐴𝐵 program in geometric analysis: sharp Sobolev inequalities and related problems
• ON A CLASS OF HYPOELLIPTIC OPERATORS
• Extremal functions for optimal Sobolev inequalities on compact manifolds
• Asymptotic behavior of positive solutions of quasilinear elliptic equations with critical Sobolev growth
• From best constants to critical functions
• From best constants to critical functions

This page was built for publication: Sharp Sobolev inequalities in the presence of a twist