Variable Sobolev capacity and the assumptions on the exponent
Petteri Harjulehto ; Peter Hästö ; Mika Koskenoja ; Susanna Varonen
Banach Center Publications, Tome 68 (2005), p. 51-59 / Harvested from The Polish Digital Mathematics Library
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In a recent article the authors showed that it is possible to define a Sobolev capacity in variable exponent Sobolev space. However, this set function was shown to be a Choquet capacity only under certain assumptions on the variable exponent. In this article we relax these assumptions.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:281981 
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     title = {Variable Sobolev capacity and the assumptions on the exponent},
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Petteri Harjulehto; Peter Hästö; Mika Koskenoja; Susanna Varonen. Variable Sobolev capacity and the assumptions on the exponent. Banach Center Publications, Tome 68 (2005) pp. 51-59. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc68-0-6/