Global Holder regularity for the fractional p-Laplacian

A. Iannizzotto; S. Mosconi; Marco Squassina

doi:10.4171/RMI/921

Global Holder regularity for the fractional p-Laplacian

A. Iannizzotto
, S. Mosconi
, Marco Squassina

Research output: Contribution to journal › Article › peer-review

89 Citations (Scopus)

Abstract

By virtue of barrier arguments we prove C alpha-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\r\ninhomogeneous and the boundary conditions are of Dirichlet type.

Original language	English
Pages (from-to)	1355-1394
Number of pages	40
Journal	Revista Matematica Iberoamericana
Volume	32
Issue number	4
DOIs	https://doi.org/10.4171/RMI/921
Publication status	Published - 2016

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

fractional p-Laplacian
global Holder regularity

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10.4171/RMI/921

Cite this

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title = "Global Holder regularity for the fractional p-Laplacian",

abstract = "By virtue of barrier arguments we prove C alpha-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\textbackslash{}r\textbackslash{}ninhomogeneous and the boundary conditions are of Dirichlet type.",

keywords = "fractional p-Laplacian, global Holder regularity, fractional p-Laplacian, global Holder regularity",

author = "A. Iannizzotto and S. Mosconi and Marco Squassina",

year = "2016",

doi = "10.4171/RMI/921",

language = "English",

volume = "32",

pages = "1355--1394",

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publisher = "European Mathematical Society Publishing House",

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TY - JOUR

T1 - Global Holder regularity for the fractional p-Laplacian

AU - Iannizzotto, A.

AU - Mosconi, S.

AU - Squassina, Marco

PY - 2016

Y1 - 2016

N2 - By virtue of barrier arguments we prove C alpha-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\r\ninhomogeneous and the boundary conditions are of Dirichlet type.

AB - By virtue of barrier arguments we prove C alpha-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\r\ninhomogeneous and the boundary conditions are of Dirichlet type.

KW - fractional p-Laplacian

KW - global Holder regularity

KW - fractional p-Laplacian

KW - global Holder regularity

UR - https://publicatt.unicatt.it/handle/10807/87030

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U2 - 10.4171/RMI/921

DO - 10.4171/RMI/921

M3 - Article

SN - 0213-2230

VL - 32

SP - 1355

EP - 1394

JO - Revista Matematica Iberoamericana

JF - Revista Matematica Iberoamericana

IS - 4

ER -

Global Holder regularity for the fractional p-Laplacian

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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