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

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

20 Citations (Scopus)

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.

Original language	English
Article number	1750003
Journal	Communications in Contemporary Mathematics
Volume	20
Issue number	1
DOIs	https://doi.org/10.1142/S0219199717500031
Publication status	Published - 2018 Feb 1
Externally published	Yes

Keywords

Fractional p-Laplacian
fractional gradient
regularity theory

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1142/S0219199717500031

Cite this

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title = "Regularity for a fractional p-Laplace equation",

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.",

keywords = "Fractional p-Laplacian, fractional gradient, regularity theory",

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AU - Schikorra, Armin

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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JO - Communications in Contemporary Mathematics

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Regularity for a fractional p-Laplace equation

Abstract

Keywords

ASJC Scopus subject areas

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