Variable Sobolev capacity and the assumptions on the exponent
Volume 68 / 2005
Banach Center Publications 68 (2005), 51-59
MSC: 31B15, 46E35.
DOI: 10.4064/bc68-0-6
Abstract
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.
