Harnack inequalities and Bôcher-type theorems for conformally invariant fully nonlinear degenerate elliptic equations

Abstract

We give a generalization of a theorem of Bôcher 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.

to appear in CPAM

References in corpus (1)

• Asymptotic behavior of solutions to the ${\sigma }_k$-Yamabe equation near isolated singularities

Cited by in corpus (3)

• Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations
• Existence and uniqueness to a fully non-linear version of the Loewner-Nirenberg problem
• The ${\sigma }_k$-Loewner-Nirenberg problem on Riemannian manifolds for $k<\frac{n}{2}$