Sobolev inequalities of exponential type

被引：0
作者：
D. E. Edmunds
R. Hurri-Syrjänen
机构：
[1] University of Sussex,Centre for Mathematical Analysis and Its Applications
[2] University of Helsinki,Department of Mathematics
来源：
Israel Journal of Mathematics | 2001年 / 123卷
关键词：
SOBOLEV Inequality; Orlicz Space; Exponential Type; Orlicz Function; Irregular Domain;
D O I：
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学科分类号：
摘要：
We give sufficient conditions for domains to satisfy Sobolev inequalities of single exponential type. Earlier work in this area imposed more stringent conditions on the domains and is thus contained in our results. Moreover, the class of functions considered is based onLn loganL witha<1−1/n, n being the dimension of the underlying space. The limiting casea=1−1/n gives rise to an inequality of double exponential type which is shown to be valid in a large class of irregular domains. This inequality is new even in smooth domains.
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页码：61 / 92
页数：31
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