Fractional capacities relative to bounded open Lipschitz sets complemented |
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| Authors: | S.?Shi,J.?Xiao mailto:jxiao@mun.ca" title=" jxiao@mun.ca" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
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| Affiliation: | 1.Department of Mathematics,Linyi University,Linyi,People’s Republic of China;2.Department of Mathematics and Statistics,Memorial University,St. John’s,Canada |
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| Abstract: | ![]()
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 ({mathbb {R}}^n): (i) quasi-everywhere version; (ii) unique extremal; (iii) energy functional; (iv) dual representation; (v) fine behaviour of each fractional Sobolev function in ({mathbb {R}}^n). |
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