Problème de la courbure scalaire prescrite sur les variétés riemanniennes complètes. (The problem of prescribed scalar curvature for complete Riemannian manifolds)

DOI10.1016/S0021-7824(02)01270-9zbMath1035.53048MaRDI QIDQ1406922

Athanase Cotsiolis, Thierry Aubin

Publication date: 7 September 2003

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

Weighted Sobolev spacesComplete manifoldsPrescribed scalar curvature

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (1)

Existence results for the Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds in the null case

Cites Work

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• The null spaces of elliptic partial differential operators in R\(^n\)
• The behavior of the laplacian on weighted sobolev spaces
• Some isoperimetric inequalities and eigenvalue estimates
• Prescribed scalar curvature problem on complete manifolds.
• Prescribed scalar curvature on compact Riemannian manifolds in the negative case

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