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arXiv · 1612.09418

Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations

YanYan Li·Luc Nguyen·Bo Wang
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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 $\nabla^2 \psi + L(x,\psi,\nabla \psi)$ which are non-decreasing in $\psi$.

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YanYan Li, Luc Nguyen, Bo Wang. 2016-12-30. Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations. https://doi.org/10.1007/s00526-018-1369-z

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