Regularity of subelliptic Monge-Ampère equations in the plane
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- by Pengfei Guan and Eric Sawyer PDF
- Trans. Amer. Math. Soc. 361 (2009), 4581-4591 Request permission
Abstract:
We establish a $C^\infty$ regularity result for $C^{1,1}$ solutions of degenerate Monge-Ampère equation in $\mathbb R^2$, under the assumption that the trace of the Hessian is bounded from below.References
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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
- MR Author ID: 155255
- Email: sawyer@mcmaster.ca
- 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.
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - 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
- MathSciNet review: 2506420