Regularity for a fractional p-Laplace equation

被引：15

作者：

Schikorra, Armin ^{[1
]}

Shieh, Tien-Tsan ^{[2
]}

Spector, Daniel E. ^{[3
]}

机构：

[1] Albert Ludwigs Univ, Mathemat Inst, Abt Reine Math, Eckerstr 1, D-79104 Freiburg, Germany

[2] Natl Taiwan Univ, Natl Ctr Theoret Sci, 1,Sec 4,Roosevelt Rd, Taipei 106, Taiwan

[3] Natl Chiao Tung Univ, Dept Appl Math, 1001 Ta Hsueh Rd, Hsinchu 30010, Taiwan

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2018年 / 20卷 / 01期

关键词：

Fractional p-Laplacian; fractional gradient; regularity theory;

D O I：

10.1142/S0219199717500031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：6

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