Best constant for trace Nash inequality

DOI10.1007/s00030-002-8125-xzbMath1007.46035OpenAlexW1974923528MaRDI QIDQ1601721

Emmanuel Humbert

Publication date: 27 June 2002

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-002-8125-x

zbMATH Keywords

best constantradial functionstrace Nash inequalityfirst Neumann eigenvalue of the LaplacianRiemannian compact manifold

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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Sharp Nash inequalities on the unit sphere: the influence of symmetries

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