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

2006/05/20 by Li, Yanyan · 3 citations
#35J69 #58J05 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0605559

Abstract

This paper concerns local gradient estimates to solutions of general conformally invariant fully nonlinear elliptic equations of second order.

Cited by

• Boundary estimates for a fully nonlinear Yamabe problem on Riemannian manifolds
• The fully nonlinear Loewner-Nirenberg problem: Liouville theorems and counterexamples to local boundary estimates
• The σ_k-Loewner-Nirenberg problem on Riemannian manifolds for k=(n)/(2) and beyond

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• Local estimates for elliptic equations arising in conformal geometry
• Gradient Estimate for Solutions of Second-Order Elliptic Equations
• Local Gradient Estimates for Second-Order Nonlinear Elliptic and Parabolic Equations by the Weak Bernstein's Method
• Gradient estimates for a nonlinear elliptic equation on complete Riemannian manifolds
• Local Estimates for Some Fully Nonlinear Elliptic Equations