On Yamabe's problem - by a modified direct method -

DOI10.2748/tmj/1178229152zbMath0533.53041OpenAlexW1963740174MaRDI QIDQ789752

Atsushi Inoue

Publication date: 1982

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229152

zbMATH Keywords

critical Sobolev exponentsscalar curvatureYamabe problemSobolev inequalities

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Critical metrics (58E11) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items

Scalar curvature and conformal geometry

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• Best constant in Sobolev inequality
• Problèmes isoperimetriques et espaces de Sobolev
• Elliptic Partial Differential Equations of Second Order
• On Variations of Metrics.