On the variable exponential fractional Sobolev space Ws(·),p(·)

AIMS Mathematics

Yongqiang Fu¹  Haikun Liu¹ 

[1] Departnent of Mathematics, Harbin Institute of Technology, Harbin 150001, P. R. China;

关键词: variable exponent;    fractional;    sobolev space;   

DOI  :  10.3934/math.2020403

来源: DOAJ

【 摘 要 】

In this paper a new kind of variable exponential fractional Sobolev spaces is introduced. For this kind of spaces, some basic properties, such as separability, reflexivity, strict convexity and denseness, are established. At last as an application the existence of solutions for so called s(·)-p(·)- Laplacian equations is discussed.

【 授权许可】

Unknown