A class of fully nonlinear equations

2018/02/14 by Chen, Xiuxiong, He, Weiyong
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1802.04985

Abstract

In this paper we consider a class of fully nonlinear equations which cover the equation introduced by S. Donaldson a decade ago and the equation introduced by Gursky-Streets recently. We solve the equation with uniform weak C² estimates, which hold for degenerate case.

Related

• Uniform L^∞ estimates: subsolutions to fully nonlinear partial differential equations
• The Neumann problem for a class of fully nonlinear elliptic partial differential equations
• Global regularity results for a class of singular/degenerate fully nonlinear elliptic equations
• Gradient regularity for fully nonlinear equations with degenerate coefficients
• Neumann problem for a class of fully nonlinear equations