On the Regularity of Solutions to Fully Nonlinear Elliptic Equations via the Liouville Property

Authors

Qingbo Huang, Wright State University - Main CampusFollow

Document Type

Article

Publication Date

2002

Abstract

We show that any C^1,1 solution to the uniformly elliptic equation F(D²u) = 0 must belong to C^2,α, if the equation has the Liouville property.

Comments

First published in Proceedings of the American Mathematical Society 130.7 (2002), published by the American Mathematical Society.

Repository Citation

Huang, Q. (2002). On the Regularity of Solutions to Fully Nonlinear Elliptic Equations via the Liouville Property. Proceedings of the American Mathematical Society, 130 (7), 1955-1959.
https://corescholar.libraries.wright.edu/math/48

DOI

10.1090/S0002-9939-02-06503-6