Fractional capacities relative to bounded open Lipschitz sets complemented

Fractional capacities relative to bounded open Lipschitz sets complemented
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DOI:
10.1007/s00526-016-1105-5
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发表时间:
2017-01
影响因子:
2.1
通讯作者:
S. Shi;J. Xiao
S. Shi;J. Xiao
中科院分区:
数学2区
文献类型:
--
作者:
S. Shi;J. Xiao

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作为(Shi and Xiao in Potential Anal 45:261-298,2016)的补充,本文讨论了分数容量相对于有界开Lipschitz子集的五个方面:(i)准处处版本;(ii)唯一极值;(iii)能量泛函;(iv)对偶表示;(v)中每个分数Sobolev函数的精细行为。
As a complement of (Shi and Xiao in Potential Anal 45:261–298, 2016) this article addresses five more aspects of the fractional capacities relative to bounded open Lipschitz subsets of: (i) quasi-everywhere version; (ii) unique extremal; (iii) energy functional; (iv) dual representation; (v) fine behaviour of each fractional Sobolev function in.