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

A. Iannizzotto; S. Mosconi; Marco Squassina

doi:10.4171/RLM/719

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

A. Iannizzotto
, S. Mosconi
, Marco Squassina

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

14 Citations (Scopus)

Abstract

We consider a boundary value problem driven by the fractional p-Laplacian\r\noperator with a bounded reaction term. By means of barrier arguments, we prove Holder regularity\r\nup 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
Issue number	1
DOIs	https://doi.org/10.4171/RLM/719
Publication status	Published - 2016

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

global Holder regularity

Access to Document

10.4171/RLM/719

Cite this

@article{29b92db0f5fe4a568fa9f87a84a7f364,

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\textbackslash{}r\textbackslash{}noperator with a bounded reaction term. By means of barrier arguments, we prove Holder regularity\textbackslash{}r\textbackslash{}nup to the boundary for the weak solutions",

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

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

year = "2016",

doi = "10.4171/RLM/719",

language = "English",

volume = "27",

pages = "15--24",

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

issn = "1120-6330",

publisher = "Accademia Nazionale dei Lincei:Via Lungara 10 Uff Diff Pubbl., I 00165 Rome Italy:011 39 06 68027230, EMAIL: [email protected], INTERNET: http://www.lincei.it, Fax: 011 39 06 68027334",

number = "1",

}

TY - JOUR

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

AU - Iannizzotto, A.

AU - Mosconi, S.

AU - Squassina, Marco

PY - 2016

Y1 - 2016

N2 - We consider a boundary value problem driven by the fractional p-Laplacian\r\noperator with a bounded reaction term. By means of barrier arguments, we prove Holder regularity\r\nup to the boundary for the weak solutions

AB - We consider a boundary value problem driven by the fractional p-Laplacian\r\noperator with a bounded reaction term. By means of barrier arguments, we prove Holder regularity\r\nup to the boundary for the weak solutions

KW - global Holder regularity

UR - https://publicatt.unicatt.it/handle/10807/87060

UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=84958773803&origin=inward

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84958773803&origin=inward

U2 - 10.4171/RLM/719

DO - 10.4171/RLM/719

M3 - Article

SN - 1120-6330

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

IS - 1

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this