Sharp Sobolev inequalities of second order

DOI10.1007/BF02931001zbMath1032.58008MaRDI QIDQ1414839

Emmanuel Hebey

Publication date: 4 December 2003

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

compact Riemannian manifold

Mathematics Subject Classification ID

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

Related Items (10)

The second best constant for the Hardy-Sobolev inequality on manifolds ⋮ Best constants in second-order Sobolev inequalities on Riemannian manifolds and applications. ⋮ Second-order Sobolev inequalities on a class of Riemannian manifolds with nonnegative Ricci curvature ⋮ A Paneitz-Branson type equation with Neumann boundary conditions ⋮ Influence of mean curvature on mountain-pass solutions for Hardy-Sobolev equations ⋮ Optimal Hardy-Sobolev inequalities on compact Riemannian manifolds ⋮ On the Paneitz energy on standard three sphere ⋮ COMPACTNESS AND GLOBAL ESTIMATES FOR A FOURTH ORDER EQUATION OF CRITICAL SOBOLEV GROWTH ARISING FROM CONFORMAL GEOMETRY ⋮ Asymptotic in Sobolev spaces for symmetric Paneitz-type equations on Riemannian manifolds ⋮ Best constant in critical Sobolev inequalities of second-order in the presence of symmetries

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• The concentration-compactness principle in the calculus of variations. The limit case. I
• Group representations arising from Lorentz conformal geometry
• The best constants problem in Sobolev inequalities
• A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)
• Mountain pass critical points for Paneitz-Branson operators.
• Paneitz-type operators and applications
• The best constant problem in the Sobolev embedding theorem for complete Riemannian manifolds
• Critical exponents, critical dimensions and the biharmonic operator
• Positive solutions for a fourth order equation invariant under isometries
• The 𝐴𝐵 program in geometric analysis: sharp Sobolev inequalities and related problems
• Coercivity and Struwe's compactness for Paneitz type operators with constant coefficients

This page was built for publication: Sharp Sobolev inequalities of second order