Titlebook: Sobolev Spaces; with Applications to Vladimir Maz‘ya Book 2011Latest edition Springer-Verlag Berlin Heidelberg 2011 46E35, 42B37, 26D10.Sob

parsimony

桶去微染

978-3-662-51729-1Springer-Verlag Berlin Heidelberg 2011

討厭

Sobolev Spaces978-3-642-15564-2Series ISSN 0072-7830 Series E-ISSN 2196-9701

不利

Grundlehren der mathematischen Wissenschaftenhttp://image.papertrans.cn/s/image/869247.jpg

bypass

https://doi.org/10.1007/978-3-642-15564-246E35, 42B37, 26D10; Sobolev spaces; general domains; integral inequalities; isoperimetric and isocapaci

丑惡

Integrability of Functions in the Space ,, sufficient for the embedding operator . to be continuous or compact. These criteria are intimately connected with relative isoperimetric inequalities and isoperimetric functions. In Sect.?5.2 we consider the cases .≥1 and 0<.<1 separately.

疏忽

,Capacitary and Trace Inequalities for Functions in ?, with Derivatives of an Arbitrary Order,in ?. and . is the completion of . with respect to the norm ...On the other hand, if?(11.1.1) is valid for any ., then . for all .??...The present chapter contains similar results in which the role of . is played by the spaces ., ., ., ., ., and ..

cloture

反感

Integral Inequality for Functions on a Cube,on in ., .≥1, by?...The inequality . with . in the same interval as in the Sobolev embedding theorem often turns out to be useful. This inequality occurs repeatedly in the following chapters. Obviously,?(14.0.1) is not valid for all ., but it holds provided . is subject to additional requirements.

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