Arctic 发表于 2025-3-23 11:09:11

Preliminaries, information contained in this chapter will be well-known by the reader and therefore no attempt has been made to make a complete and thorough presentation. Rather, we merely introduce notation and develop a few concepts that will be needed in the sequel.

无弹性 发表于 2025-3-23 17:20:43

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Precursor 发表于 2025-3-23 18:45:38

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agglomerate 发表于 2025-3-24 01:52:29

Sobolev Spaces and Their Basic Properties,e basic Sobolev inequality is proved in two ways, one of which employs the co-area formula (Section 2.7) to obtain the best constant in the inequality. This method relates the Sobolev inequality to the isoperimetric inequality.

neolith 发表于 2025-3-24 03:52:04

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率直 发表于 2025-3-24 07:08:36

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assent 发表于 2025-3-24 12:14:36

Graduate Texts in Mathematicshttp://image.papertrans.cn/w/image/1021369.jpg

CLASH 发表于 2025-3-24 17:45:47

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floaters 发表于 2025-3-24 22:41:44

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性上瘾 发表于 2025-3-25 00:14:48

,Poincaré Inequalities—A Unified Approach,In Chapter 2, basic Sobolev inequalities were established for functions in the space .(Ω). We recall the following fundamental result which is a particular case of Theorem 2.4.2.
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查看完整版本: Titlebook: Weakly Differentiable Functions; Sobolev Spaces and F William P. Ziemer Textbook 1989 Springer Science+Business Media New York 1989 Derivat