Regularity for a fractional p-Laplace equation

Armin Schikorra; Tien Tsan Shieh; Daniel E. Spector

doi:10.1142/S0219199717500031

Regularity for a fractional p-Laplace equation

Armin Schikorra
, Tien Tsan Shieh
, Daniel E. Spector

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

20 引文斯高帕斯（Scopus）

摘要

In this note, we consider regularity theory for a fractional p-Laplace operator which arises in the complex interpolation of the Sobolev spaces, the Hs,p-Laplacian. We obtain the natural analogue to the classical p-Laplacian situation, namely Clocs+α-regularity for the homogeneous equation.

原文	英語
文章編號	1750003
期刊	Communications in Contemporary Mathematics
卷	20
發行號	1
DOIs	https://doi.org/10.1142/S0219199717500031
出版狀態	已發佈 - 2018 2月 1
對外發佈	是

ASJC Scopus subject areas

一般數學
應用數學

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10.1142/S0219199717500031

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abstract = "In this note, we consider regularity theory for a fractional p-Laplace operator which arises in the complex interpolation of the Sobolev spaces, the Hs,p-Laplacian. We obtain the natural analogue to the classical p-Laplacian situation, namely Clocs+α-regularity for the homogeneous equation.",

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AU - Shieh, Tien Tsan

AU - Spector, Daniel E.

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N2 - In this note, we consider regularity theory for a fractional p-Laplace operator which arises in the complex interpolation of the Sobolev spaces, the Hs,p-Laplacian. We obtain the natural analogue to the classical p-Laplacian situation, namely Clocs+α-regularity for the homogeneous equation.

AB - In this note, we consider regularity theory for a fractional p-Laplace operator which arises in the complex interpolation of the Sobolev spaces, the Hs,p-Laplacian. We obtain the natural analogue to the classical p-Laplacian situation, namely Clocs+α-regularity for the homogeneous equation.

KW - Fractional p-Laplacian

KW - fractional gradient

KW - regularity theory

UR - https://www.scopus.com/pages/publications/85032203104

UR - https://www.scopus.com/pages/publications/85032203104#tab=citedBy

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Regularity for a fractional p-Laplace equation

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