English

W^{2,1} estimate for singular solutions to the Monge-Ampere equation

Analysis of PDEs 2013-12-09 v2

Abstract

We prove an interior W2,1W^{2,1} estimate for singular solutions to the Monge-Ampere equation, and construct an example to show our results are optimal.

Keywords

Cite

@article{arxiv.1305.3895,
  title  = {W^{2,1} estimate for singular solutions to the Monge-Ampere equation},
  author = {Connor Mooney},
  journal= {arXiv preprint arXiv:1305.3895},
  year   = {2013}
}

Comments

Final version, to appear in Ann. Sc. Norm. Super. Pisa Cl. Sci