Global $W^{2,p}$ estimates for the Monge-Ampère equation
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- by O. Savin PDF
- Proc. Amer. Math. Soc. 141 (2013), 3573-3578 Request permission
Abstract:
We use a localization property of boundary sections for solutions to the Monge-Ampère equation and obtain global $W^{2,p}$ estimates under natural assumptions on the domain and boundary data.References
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Additional Information
- O. Savin
- Affiliation: Department of Mathematics, Columbia University, New York, New York 10027
- MR Author ID: 675185
- Email: savin@math.columbia.edu
- Received by editor(s): March 4, 2011
- Received by editor(s) in revised form: January 5, 2012
- Published electronically: July 1, 2013
- Additional Notes: The author was partially supported by NSF grant 0701037.
- Communicated by: James E. Colliander
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 3573-3578
- MSC (2010): Primary 35J96
- DOI: https://doi.org/10.1090/S0002-9939-2013-11748-X
- MathSciNet review: 3080179