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

Marco Squassina; Antonio Iannizzotto; Sunra J.N. Mosconi

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

Marco Squassina, Antonio Iannizzotto, Sunra J.N. Mosconi

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

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 for the weak solutions

Original language	English
Pages (from-to)	15-24
Number of pages	10
Journal	ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI
Volume	27
Publication status	Published - 2016

Keywords

global Holder regularity

Cite this

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title = "A note on global Holder regularity for the weak solutions of fractional p-Laplacian problems",

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 for the weak solutions",

keywords = "global Holder regularity, global Holder regularity",

author = "Marco Squassina and Antonio Iannizzotto and Mosconi, {Sunra J.N.}",

year = "2016",

language = "English",

volume = "27",

pages = "15--24",

journal = "ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI",

issn = "1720-0768",

publisher = "Roma : Accademia nazionale dei Lincei Z{\"u}rich : EMS Publishing House",

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TY - JOUR

T1 - A note on global Holder regularity for the weak solutions of fractional p-Laplacian problems

AU - Squassina, Marco

AU - Iannizzotto, Antonio

AU - Mosconi, Sunra J.N.

PY - 2016

Y1 - 2016

N2 - 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

AB - 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

KW - global Holder regularity

UR - http://hdl.handle.net/10807/87060

M3 - Article

VL - 27

SP - 15

EP - 24

JO - ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI

JF - ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI

SN - 1720-0768

ER -

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

Abstract

Keywords

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