Asymptotics and regularity of flat solutions to fully nonlinear elliptic problems

• Disson dos Prazeres ^[1] ; Eduardo V. Teixeira ^[1]
  1. [1] Universidade Federal do Ceará

     Universidade Federal do Ceará

     Brasil

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 15, Nº Extra 1 (Special volume), 2016, págs. 485-500
• Idioma: inglés
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• Resumen

  • In this work we establish local C 2,α regularity estimates for flat so- lutions to non-convex fully nonlinear elliptic equations provided the coefficients and the source function are of class C 0,α . For problems with merely continuous data, we prove that flat solutions are locally C 1,Log-Lip .