BOUNDEDNESS OF POSITIVE SOLUTIONS OF THE CONFORMAL SCALAR CURVATURE EQUATION AND POSITIVE SCALAR CURVATURE

DOI10.1081/PDE-100001755zbMath0997.53032OpenAlexW2091971149MaRDI QIDQ2747913

Man-Chun Leung

Publication date: 10 November 2002

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-100001755

zbMATH Keywords

scalar curvatureradius of injectivity

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (1)

Combining Solutions of Semilinear Partial Differential Equations in ℝⁿwith Critical Sobolev Exponent

Cites Work

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• Convergence and rigidity of manifolds under Ricci curvature bounds
• Conformally flat manifolds, Kleinian groups and scalar curvature
• Refined asymptotics for constant scalar curvature metrics with isolated singularities
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Asymptotic behavior of positive solutions of the equation complete riemannian manifold and positive scalar curvature
• Conformal scalar curvature equations on complete manifolds

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