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Variable Sobolev capacity and the assumptions on the exponent

Tom 68 / 2005

Petteri Harjulehto, Peter Hästö, Mika Koskenoja, Susanna Varonen Banach Center Publications 68 (2005), 51-59 MSC: 31B15, 46E35. DOI: 10.4064/bc68-0-6

Streszczenie

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.

Autorzy

  • Petteri HarjulehtoDepartment of Mathematics and Statistics
    P.O. Box 68
    (Gustaf Hällströmin katu 2b)
    FIN-00014 University of Helsinki
    Finland
    e-mail
  • Peter HästöDepartment of Mathematics and Statistics
    P.O. Box 68
    (Gustaf Hällströmin katu 2b)
    FIN-00014 University of Helsinki
    Finland
    e-mail
  • Mika KoskenojaDepartment of Mathematics and Statistics
    P.O. Box 68
    (Gustaf Hällströmin katu 2b)
    FIN-00014 University of Helsinki
    Finland
    e-mail
  • Susanna VaronenDepartment of Mathematics and Statistics
    P.O. Box 68
    (Gustaf Hällströmin katu 2b)
    FIN-00014 University of Helsinki
    Finland
    e-mail

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