Regularity for a fractional p-Laplace equation

dc.citation.volume	20	en_US
dc.contributor.author	Schikorra, Armin	en_US
dc.contributor.author	Shieh, Tien-Tsan	en_US
dc.contributor.author	Spector, Daniel E.	en_US
dc.contributor.department	應用數學系	zh_TW
dc.contributor.department	Department of Applied Mathematics	en_US
dc.date.accessioned	2018-08-21T05:52:48Z
dc.date.available	2018-08-21T05:52:48Z
dc.date.issued	2018-02-01	en_US
dc.description.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 H-s,H-p-Laplacian. We obtain the natural analogue to the classical p-Laplacian situation, namely C-loc(s+alpha)-regularity for the homogeneous equation.	en_US
dc.identifier.doi	10.1142/S0219199717500031	en_US
dc.identifier.issn	0219-1997	en_US
dc.identifier.journal	COMMUNICATIONS IN CONTEMPORARY MATHEMATICS	en_US
dc.identifier.uri	http://dx.doi.org/10.1142/S0219199717500031	en_US
dc.identifier.uri	https://ir.lib.nycu.edu.tw/handle/11536/143962
dc.identifier.wosnumber	WOS:000413441800005	en_US
dc.language.iso	en_US	en_US
dc.subject	Fractional p-Laplacian	en_US
dc.subject	fractional gradient	en_US
dc.subject	regularity theory	en_US
dc.title	Regularity for a fractional p-Laplace equation	en_US
dc.type	Article	en_US

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