Harnack inequalities and B\^ocher-type theorems for conformally invariant fully nonlinear degenerate elliptic equations

TL;DR

This paper extends classical theorems to a broad class of nonlinear elliptic equations, establishing a Harnack inequality and classifying symmetric solutions to deepen understanding of their behavior.

Contribution

It generalizes B\

Findings

Proves a Harnack inequality for viscosity solutions.

Classifies continuous radially symmetric solutions.

Extends B\

Abstract

We give a generalization of a theorem of B\^ocher 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.