Optimal Sobolev Inequalities on Complete Riemannian Manifolds with Ricci Curvature Bounded Below and Positive Injectivity Radius

From MaRDI portal
Publication:4879083

DOI10.1353/ajm.1996.0014zbMath0863.53031OpenAlexW2008101696WikidataQ115238787 ScholiaQ115238787MaRDI QIDQ4879083

Emmanuel Hebey

Publication date: 21 May 1996

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://muse.jhu.edu/journals/american_journal_of_mathematics/toc/ajm118.2.html




Related Items

Sobolev-type inequalities on Cartan-Hadamard manifolds and applications to some nonlinear diffusion equationsThe best constant problem in the Sobolev embedding theorem for complete Riemannian manifoldsThe Rozenblum-Lieb-Cwikel inequality for Markov generators\(L^p\)-Kato class measures for symmetric Markov processes under heat kernel estimatesConvergence of the Ricci flow on asymptotically flat manifolds with integral curvature pinchingThe (logarithmic) Sobolev inequalities along geometric flow and applicationsElliptic PDEs on Compact Ricci Limit Spaces and ApplicationsNon-symmetric perturbations of symmetric Dirichlet forms.A uniform Sobolev inequality for Ricci flow with surgeries and applicationsExtremals for Sobolev and Exponential Inequalities in Hyperbolic SpaceNonexistence of Radial Optimal Functions for the Sobolev Inequality on Cartan-Hadamard ManifoldsA Gaussian upper bound of the conjugate heat equation along Ricci-harmonic flowRiesz transforms on connected sumsKähler non-collapsing, eigenvalues and the Calabi flowExtremal of log Sobolev inequality and \(W\) entropy on noncompact manifoldsKato class measures of symmetric Markov processes under heat kernel estimatesSome general forms of sharp Sobolev inequalitiesNew results about the lambda constant and ground states of the \(W\)-functionalOn the best Sobolev inequalitySobolev-type inequalities and heat kernel bounds along the geometric flow




This page was built for publication: Optimal Sobolev Inequalities on Complete Riemannian Manifolds with Ricci Curvature Bounded Below and Positive Injectivity Radius