標題: Regularity for a fractional p-Laplace equation
作者: Schikorra, Armin
Shieh, Tien-Tsan
Spector, Daniel E.
應用數學系
Department of Applied Mathematics
關鍵字: Fractional p-Laplacian;fractional gradient;regularity theory
公開日期: 1-Feb-2018
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 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.
URI: http://dx.doi.org/10.1142/S0219199717500031
http://hdl.handle.net/11536/143962
ISSN: 0219-1997
DOI: 10.1142/S0219199717500031
期刊: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
Volume: 20
Appears in Collections:Articles