Global $W^{2,p}$ estimates for the Monge-Ampere equation

By Ovidiu Savin. 2011

65 citations recorded by the source corpus.

We obtain global $W^{2,p}$ estimates for the Monge-Ampere equation under natural assumptions on the domain and boundary data.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/fdee79f0d7f21fc58bb807e5e9597f45ce94e4c9

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In Applied Mathematics

1. Haigang Li
2. J. Bao
3. Lei Zhang
4. Yanyan Li
5. Aobing Li

In Geometry and Topology

1. Haigang Li
2. J. Bao
3. Lei Zhang

Citations in the corpus

• Monge–Ampère equation on exterior domains (2013, background): “[11], Caffarelli [7], Ivochkina [22–24], Krylov [27], Jian and Wang [25], Huang [21], Trudinger-Wang [36], Urbas [38],Savin [34,35], Philippis and Figalli [29] and the references therein.”