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Compact embeddings for Sobolev spaces of two variable exponents
Complex Variables and Elliptic Equations ( IF 0.9 ) Pub Date : 2021-08-17 , DOI: 10.1080/17476933.2021.1965997
Yoshihiro Mizuta 1 , Takao Ohno 2 , Tetsu Shimomura 3
Affiliation  

We study the compact embedding for Sobolev spaces W01,Φ(G) of two variable exponents, where Φ(x,t)=tp(x)(log(e+t))q(x). Here p() and q() are variable exponents satisfying the log-Hölder and log log-Hölder conditions, respectively.



中文翻译:

两个变量指数的 Sobolev 空间的紧凑嵌入

我们研究了 Sobolev 空间的紧嵌入W01,Φ(G)两个变量指数,其中Φ(X,)=p(X)(日志(e+))q(X). 这里p()q()是分别满足 log-Hölder 和 log log-Hölder 条件的变量指数。

更新日期:2021-08-17
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