LOCAL GRADIENT ESTIMATES FOR QUOTIENT EQUATIONS IN CONFORMAL GEOMETRY

DOI10.1142/S0129167X07004060zbMath1121.53028OpenAlexW2051675810MaRDI QIDQ5292224

Pengfei Guan, Guofang Wang, Chang-Shou Lin

Publication date: 20 June 2007

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x07004060

zbMATH Keywords

Yamabe problemlocal gradient estimateconformal quotient equationSchouten tensor

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Global Riemannian geometry, including pinching (53C20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (6)

On the \(\sigma_2\)-Nirenberg problem on \(\mathbb{S}^2\) ⋮ The interior gradient estimate of prescribed Hessian quotient curvature equations ⋮ Local gradient estimates of solutions to some conformally invariant fully nonlinear equations ⋮ Interior and boundary gradient estimates for solutions to Hessian equations satisfying Neumann boundary conditions ⋮ On a fully nonlinear Yamabe problem ⋮ The interior gradient estimate of Hessian quotient equations

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• Volume comparison and the \(\sigma_k\)-Yamabe problem
• Conformal geometry, contact geometry, and the calculus of variations
• Fully nonlinear equations on Riemannian manifolds with negative curvature
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• Conformally invariant Monge-Ampère equations: Global solutions

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