Optimal constants in critical Sobolev inequalities on Riemannian manifolds in the presence of symmetries
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Publication:1404120
DOI10.1023/A:1024410428935zbMath1035.46023MaRDI QIDQ1404120
Publication date: 20 August 2003
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
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) Variational methods for second-order elliptic equations (35J20)
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On the best constants in Sobolev inequalities on the solid torus in the limit case \(p = 1\) ⋮ Sharp Nash inequalities on manifolds with boundary in the presence of symmetries ⋮ Ledoux-type rigidity results on manifolds with boundary in the presence of symmetries ⋮ Best constant and mountain-pass solutions for a supercritical Hardy-Sobolev problem in the presence of symmetries ⋮ On the Hardy–Sobolev Inequalities ⋮ Analytical approach of the symmetry: sharp supercritical Hardy-Sobolev inequalities and applications ⋮ Best constants in Sobolev inequalities on manifolds with boundary in the presence of symmetries and applications ⋮ Exponential elliptic boundary value problems on a solid torus in the critical of supercritical case ⋮ Optimal constants in the exceptional case of Sobolev inequalities on Riemannian manifolds ⋮ 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 ⋮ Vector analysis on symmetric manifolds and Sobolev inequalities ⋮ Best constants in the exceptional case of Sobolev inequalities
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