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In this note we characterize the open sets Ω for which W (Ω) ∩ T q<p W 1,q 0 (Ω) = W 1,p 0 (Ω) . We apply our result to establish the stability of the first eigenvalues of the pLaplacians with varying p.
The administration of clinical practice placements for nursing students is a highly complex and information driven task. This demonstration is intended to give insight into the web based system KliPP (a Swedish acronym for Clinical Practice Planning) and to discuss the possibilities for further development and use.
The purpose of this article is to introduce the relative p-capacity Capp,Ω with respect to an open set Ω in RN . It is a Choquet capacity on the closure of Ω and extends the classical p-capacity Capp in the sense that Capp,Ω = Capp if Ω = RN . The importance of the relative p-capacity is that a large class of Sobolev functions defined on a ’bad domain’… (More)
Persons with psychiatric disabilities often lead an isolated life, and their living conditions are usually not as good as those of other people. There are few studies that describe these individuals' own opinions of what can contribute to increased health. The aim of this study was therefore to describe the importance of health for persons with psychiatric… (More)