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

University of Parma
Aix-Marseille Université

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

20 Citations (Web of Science)

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",

year = "2014",

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AU - Mingione, Giuseppe

AU - Sire, Yannick

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KW - Elliptic equations

KW - Non-local operators

KW - Self-improving properties

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U2 - 10.4171/RLM/683

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AN - SCOPUS:84911414518

SN - 1120-6330

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JO - Rendiconti Lincei: Matematica e Applicazioni

JF - Rendiconti Lincei: Matematica e Applicazioni

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ER -

A fractional Gehring lemma, with applications to nonlocal equations

Abstract

Keywords

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