"On the Regularity of Solutions to Fully Nonlinear Elliptic Equations via the Liouville Property" by Qingbo Huang

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

Proceedings of the American Mathematical Society

Qingbo Huang, Wright State University - Main Campus

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Document Type

Article

Publication Date

1-1-2002

Disciplines

Applied Mathematics,
Applied Statistics,
Mathematics,
Physical Sciences and Mathematics and
Statistics and Probability

Abstract

We show that any C1,1 solution to the uniformly elliptic equation F(D2u) = 0 must belong to C2,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.

DOI

10.1090/S0002-9939-02-06503-6

Citation Information

Qingbo Huang. "On the Regularity of Solutions to Fully Nonlinear Elliptic Equations via the Liouville Property" Proceedings of the American Mathematical Society Vol. 130 Iss. 7 (2002) p. 1955 - 1959 ISSN: 0002-9939
Available at: http://works.bepress.com/qingbo_huang/1/