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: | 1-二月-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 |
顯示於類別: | 期刊論文 |