Global Hölder regularity for the fractional p-Laplacian

• Antonio Iannizzotto ^[1] ; Sunra Mosconi ^[2] ; Marco Squassina ^[3]
  1. [1] University of Cagliari

     University of Cagliari

     Cagliari, Italia

     
  2. [2] University of Catania

     University of Catania

     Catania, Italia

     
  3. [3] Catholic University of the Sacred Heart

     Catholic University of the Sacred Heart

     Milán, Italia

     

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• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 32, Nº 4, 2016, págs. 1353-1392
• Idioma: inglés
• DOI: 10.4171/RMI/921
• Texto completo no disponible (Saber más ...)
• Resumen

  • By virtue of barrier arguments we prove Cα-regularity up to the boundary for the weak solutions of a non-local, non-linear problem driven by the fractional p-Laplacian operator. The equation is boundedly inhomogeneous and the boundary conditions are of Dirichlet type. We employ different methods according to the singular (p<2) of degenerate (p>2) case.