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

作者：Iannizzotto Antonio^*; Mosconi Sunra J N^*; Squassina Marco^*

来源：Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni, 2016, 27(1): 15-24.

DOI：10.4171/RLM/719

• Fractional p-Laplacian
• fractional Sobolev spaces
• Holder regularity
• boundary regularity

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 for the weak solutions, both in the singular (1 < p < 2) and the degenerate (p > 2) case.

• 出版日期2016