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

Antonio Iannizzotto; Sunra Mosconi; Marco Squassina

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

Analysis of PDEs 2015-04-07 v1

Authors: Antonio Iannizzotto , Sunra Mosconi , Marco Squassina

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 H\"older regularity up to the boundary for the weak solutions, both in the singular (1<p<2) and the degenerate (p>2) case.

Keywords

fractional p-Laplacian weak solutions global regularity H\"older regularity boundary value problem barrier arguments singular case degenerate case

Cite

@article{arxiv.1504.01006,
  title  = {A note on global regularity for the weak solutions of fractional p-Laplacian equations},
  author = {Antonio Iannizzotto and Sunra Mosconi and Marco Squassina},
  journal= {arXiv preprint arXiv:1504.01006},
  year   = {2015}
}

Comments

7 pages, Conferenza tenuta al XXV Convegno Nazionale di Calcolo delle Variazioni, Levico 2--6 febbraio 2015

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