Harnack Inequalities and B?cher-Type Theorems for Conformally Invariant, Fully Nonlinear Degenerate Elliptic Equations

摘要

We give a generalization of a theorem of B?cher for the Laplace equation to a class of conformally invariant fully nonlinear degenerate elliptic equations. We also prove a Harnack inequality for locally Lipschitz viscosity solutions and a classification of continuous radially symmetric viscosity solutions.