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Variable Sobolev capacity and the assumptions on the exponent

Petteri Harjulehto; Peter Hästö; Mika Koskenoja; Susanna Varonen — 2005

Banach Center Publications

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.

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