A fractional Gehring lemma, with applications to nonlocal equations

Tuomo Kuusi; Giuseppe Mingione; Yannick Sire

doi:10.4171/RLM/683

A fractional Gehring lemma, with applications to nonlocal equations

Tuomo Kuusi^*, Giuseppe Mingione, Yannick Sire

^*Corresponding author for this work

Department of Mathematics and Systems Analysis

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

11 Citations (Scopus)

Abstract

We describe a fractional version of the classical Gehring lemma. As a consequence, new self-improving regularity properties of solutions to integrodifferential equations emerge.

Original language	English
Pages (from-to)	345-358
Number of pages	14
Journal	RENDICONTI LINCEI: MATEMATICA E APPLICAZIONI
Volume	25
Issue number	4
DOIs	https://doi.org/10.4171/RLM/683
Publication status	Published - 2014
MoE publication type	A1 Journal article-refereed

Keywords

Elliptic equations
Non-local operators
Self-improving properties

Access to Document

10.4171/RLM/683

Link to publication in Scopus

Fingerprint Dive into the research topics of 'A fractional Gehring lemma, with applications to nonlocal equations'. Together they form a unique fingerprint.

Cite this

@article{5f19ebdecde0408d849a5a0be9403b3f,

title = "A fractional Gehring lemma, with applications to nonlocal equations",

abstract = "We describe a fractional version of the classical Gehring lemma. As a consequence, new self-improving regularity properties of solutions to integrodifferential equations emerge.",

keywords = "Elliptic equations, Non-local operators, Self-improving properties",

author = "Tuomo Kuusi and Giuseppe Mingione and Yannick Sire",

year = "2014",

doi = "10.4171/RLM/683",

language = "English",

volume = "25",

pages = "345--358",

journal = "RENDICONTI LINCEI: MATEMATICA E APPLICAZIONI",

issn = "1120-6330",

number = "4",

}

TY - JOUR

T1 - A fractional Gehring lemma, with applications to nonlocal equations

AU - Kuusi, Tuomo

AU - Mingione, Giuseppe

AU - Sire, Yannick

PY - 2014

Y1 - 2014

N2 - We describe a fractional version of the classical Gehring lemma. As a consequence, new self-improving regularity properties of solutions to integrodifferential equations emerge.

AB - We describe a fractional version of the classical Gehring lemma. As a consequence, new self-improving regularity properties of solutions to integrodifferential equations emerge.

KW - Elliptic equations

KW - Non-local operators

KW - Self-improving properties

UR - http://www.scopus.com/inward/record.url?scp=84911414518&partnerID=8YFLogxK

U2 - 10.4171/RLM/683

DO - 10.4171/RLM/683

M3 - Article

AN - SCOPUS:84911414518

VL - 25

SP - 345

EP - 358

JO - RENDICONTI LINCEI: MATEMATICA E APPLICAZIONI

JF - RENDICONTI LINCEI: MATEMATICA E APPLICAZIONI

SN - 1120-6330

IS - 4

ER -