Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations

Author: 

Li, Y
Nguyen, L
Wang, B

Publication Date: 

11 June 2018

Journal: 

Calculus of Variations and Partial Differential Equations

Last Updated: 

2020-01-23T12:27:46.13+00:00

Issue: 

4

Volume: 

57

DOI: 

10.1007/s00526-018-1369-z

abstract: 

We establish interior Lipschitz regularity for continuous viscosity solutions of fully nonlinear, conformally invariant, degenerate elliptic equations. As a by-product of our method, we also prove a weak form of the strong comparison principle, which we refer to as the principle of propagation of touching points, for operators of the form ∇2ψ + L(x, ψ, ∇ψ) which are non-decreasing in ψ.

Symplectic id: 

847690

Submitted to ORA: 

Not Submitted

Publication Type: 

Journal Article