W^2,1 estimate for singular solutions to the Monge-Ampère equation

• Connor Mooney ^[1]
  1. [1] Department of Mathematics UT Austin, USA
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 14, Nº 4, 2015, págs. 1283-1303
• Idioma: inglés
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• Resumen

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