Green functions for a class of nonlinear degenerate operators with X-ellipticity
Shenzhou Zheng, Zhaosheng Feng · Transactions of the American Mathematical Society · 2012
A maximum principle and some a priori estimates of a class of degenerate equations with X-ellipticity in the sense of distributions are established. A local comparison of the generalized Green function with its fundamental solutions is obtained. As an application, by means of the power of the Green function as a kernel function of a local integral, we also derive local Hölder continuity for nonlinear degenerate subelliptic equations.