Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations

Author: 

Li, Y
Nguyen, L
Wang, B

Publication Date: 

August 2018

Journal: 

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Last Updated: 

2019-06-24T05:27:03.8+01:00

Issue: 

4

Volume: 

57

DOI: 

10.1007/s00526-018-1369-z

abstract: 

© 2018, Springer-Verlag GmbH Germany, part of Springer Nature. 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

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Submitted to ORA: 

Submitted

Publication Type: 

Journal Article