Regularity of subelliptic Monge-Ampère equations in the plane

Authors:
Pengfei Guan and Eric Sawyer

Journal:
Trans. Amer. Math. Soc. **361** (2009), 4581-4591

MSC (2000):
Primary 35J60, 35B65

DOI:
https://doi.org/10.1090/S0002-9947-09-04640-6

Published electronically:
April 14, 2009

MathSciNet review:
2506420

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Abstract | References | Similar Articles | Additional Information

Abstract: We establish a regularity result for solutions of degenerate Monge-Ampère equation in , under the assumption that the trace of the Hessian is bounded from below.

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Additional Information

**Pengfei Guan**

Affiliation:
Department of Mathematics and Statistics, McGill University, Montreal, Quebec, Canada H3A 2K6

Email:
guan@math.mcgill.ca

**Eric Sawyer**

Affiliation:
Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1

Email:
sawyer@mcmaster.ca

DOI:
https://doi.org/10.1090/S0002-9947-09-04640-6

Received by editor(s):
April 26, 2007

Published electronically:
April 14, 2009

Additional Notes:
Research of the authors was supported in part by NSERC Discovery Grants.

Article copyright:
© Copyright 2009
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.