English

A note on interior $W^{2,1+\varepsilon}$ estimates for the Monge-Ampere equation

Analysis of PDEs 2012-10-31 v3

Abstract

By a variant of the techniques introduced by the first two authors in [DF] to prove that second derivatives of solutions to the Monge-Ampere equation are locally in LlogLL\log L, we obtain interior W2,1+εW^{2,1+\varepsilon} estimates.

Keywords

Cite

@article{arxiv.1202.5566,
  title  = {A note on interior $W^{2,1+\varepsilon}$ estimates for the Monge-Ampere equation},
  author = {Guido De philippis and Alessio Figalli and Ovidiu Savin},
  journal= {arXiv preprint arXiv:1202.5566},
  year   = {2012}
}