Uniform estimates for the Yamabe equation in dimensions 5 and 6

DOI10.1016/J.JFA.2006.06.018zbMath1112.58019OpenAlexW2073533073MaRDI QIDQ859664

Samy Skander Bahoura

Publication date: 16 January 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2006.06.018

zbMATH Keywords

a priori estimatesRiemannian manifoldYamabe equation

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (1)

$\sup \times \inf$ Inequalities for the Scalar Curvature Equation in Dimensions 4 and 5

Cites Work

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• A sharp sup+inf inequality for a nonlinear elliptic equation in \(\mathbb{R}^2\)
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• The best constant problem in the Sobolev embedding theorem for complete Riemannian manifolds
• Upper bounds of type \(\sup u \times \inf u \leqslant c\) for the prescribed scalar curvature equation on an open subset in \(\mathbb R^n\), \(n \geqslant 3\)
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
• The Yamabe problem
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• Estimates of the conformal scalar curvature equation via the method of moving planes
• Prescribing scalar curvature on Sn and related problems, part II: Existence and compactness

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