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Article
On the Regularity of Solutions to Fully Nonlinear Elliptic Equations via the Liouville Property
Proceedings of the American Mathematical Society
Document Type
Article
Publication Date
1-1-2002
Disciplines
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.
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/
First published in Proceedings of the American Mathematical Society 130.7 (2002), published by the American Mathematical Society.