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

13 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

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10.4171/RLM/683

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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",

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journal = "RENDICONTI LINCEI: MATEMATICA E APPLICAZIONI",

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AU - Mingione, Giuseppe

AU - Sire, Yannick

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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

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DO - 10.4171/RLM/683

M3 - Article

AN - SCOPUS:84911414518

VL - 25

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IS - 4

ER -

A fractional Gehring lemma, with applications to nonlocal equations

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Keywords

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