We consider a boundary value problem driven by the fractional p-Laplacian operator with a bounded reaction term. By means of barrier arguments, we prove Holder regularity up to the boundary forthe weak solutions, both in the singular (1 < p < 2) and the degenerate (p > 2) case.

A note on global Holder regularity for the weak solutions of fractional p-Laplacian equations.

MOSCONI, SUNRA JOHANNES NIKOLAJ;
2016

Abstract

We consider a boundary value problem driven by the fractional p-Laplacian operator with a bounded reaction term. By means of barrier arguments, we prove Holder regularity up to the boundary forthe weak solutions, both in the singular (1 < p < 2) and the degenerate (p > 2) case.
fractional p-Laplacian; regularity; regularity up to the boundary
File in questo prodotto:
File Dimensione Formato  
global regularity for the weak solutions.pdf

non disponibili

Tipologia: Versione Editoriale (PDF)
Dimensione 103.75 kB
Formato Adobe PDF
103.75 kB Adobe PDF   Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/243923
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 14
  • ???jsp.display-item.citation.isi??? 14
social impact