Local gradient estimates of solutions to some conformally invariant fully nonlinear equations

DOI10.1016/j.crma.2006.06.008zbMath1108.35061OpenAlexW2567797651MaRDI QIDQ5920658

Yan-yan Li

Publication date: 28 September 2006

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2006.06.008

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60)

Related Items (15)

A Liouville-type theorem for fully nonlinear CR invariant equations on the Heisenberg group ⋮ A \(\sigma_2\) Penrose inequality for conformal asymptotically hyperbolic 4-discs ⋮ Singularity and decay estimates for the conformal \(k\)-hessian equation via Liouville-type theorems ⋮ Harnack Inequalities and Bôcher-Type Theorems for Conformally Invariant, Fully Nonlinear Degenerate Elliptic Equations ⋮ On the \(\sigma_2\)-Nirenberg problem on \(\mathbb{S}^2\) ⋮ \(\sigma_2\) Yamabe problem on conic 4-spheres ⋮ Unnamed Item ⋮ A compactness theorem for a fully nonlinear Yamabe problem under a lower Ricci curvature bound ⋮ A fully nonlinear version of the Yamabe problem on locally conformally flat manifolds with umbilic boundary ⋮ Towards a Liouville Theorem for Continuous Viscosity Solutions to Fully Nonlinear Elliptic Equations in Conformal Geometry ⋮ Degenerate conformally invariant fully nonlinear elliptic equations ⋮ Existence and uniqueness to a fully nonlinear version of the Loewner-Nirenberg problem ⋮ Local gradient estimates of solutions to some conformally invariant fully nonlinear equations ⋮ Local gradient estimates of solutions to some conformally invariant fully nonlinear equations ⋮ Invariant conformal metrics on $\mathbb{S}^{n}$

Cites Work

• Unnamed Item
• The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
• An expansion of convex hypersurfaces
• An a priori estimate for a fully nonlinear equation on four-manifolds.
• Estimates and existence results for some fully nonlinear elliptic equations on Riemannian manifolds
• Geometric inequalities on locally conformally flat manifolds
• A priori estimates and existence for a class of fully nonlinear elliptic equations in conformal geometry
• On some conformally invariant fully nonlinear equations. II: Liouville, Harnack and Yamabe
• Some existence results for fully nonlinear elliptic equations of monge-ampère type
• On some conformally invariant fully nonlinear equations
• Local gradient estimates of solutions to some conformally invariant fully nonlinear equations

This page was built for publication: Local gradient estimates of solutions to some conformally invariant fully nonlinear equations