On the regularity of solutions to fully nonlinear elliptic equations via the Liouville property

Author:
Qingbo Huang

Journal:
Proc. Amer. Math. Soc. **130** (2002), 1955-1959

MSC (2000):
Primary 35J60; Secondary 35B65

Published electronically:
February 8, 2002

MathSciNet review:
1896027

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Abstract | References | Similar Articles | Additional Information

Abstract: We show that any solution to the uniformly elliptic equation must belong to , if the equation has the Liouville property.

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Additional Information

**Qingbo Huang**

Affiliation:
Department of Mathematics, University of Texas at Austin, Austin, Texas 78712

Address at time of publication:
Department of Mathematics & Statistics, Wright State University, Dayton, Ohio 45435

Email:
qhuang@math.utexas.edu, qhuang@math.wright.edu

DOI:
http://dx.doi.org/10.1090/S0002-9939-02-06503-6

Keywords:
Fully nonlinear elliptic equation,
regularity,
Liouville property,
VMO

Received by editor(s):
September 20, 1999

Published electronically:
February 8, 2002

Communicated by:
David S. Tartakoff

Article copyright:
© Copyright 2002
American Mathematical Society