Variable Sobolev capacity and the assumptions on the exponent

• Autorzy: Petteri Harjulehto , Peter Hästö , Mika Koskenoja , Susanna Varonen
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 31B15: Potentials and capacities, extremal length
• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 68
• Numer: 1
• Strony: 51-59

Daty

wydano

2005

Twórcy

autor

Petteri Harjulehto

• Department of Mathematics and Statistics, P.O. Box 68, (Gustaf Hällströmin katu 2b), FIN-00014 University of Helsinki, Finland

autor

Peter Hästö

• Department of Mathematics and Statistics, P.O. Box 68, (Gustaf Hällströmin katu 2b), FIN-00014 University of Helsinki, Finland

autor

Mika Koskenoja

• Department of Mathematics and Statistics, P.O. Box 68, (Gustaf Hällströmin katu 2b), FIN-00014 University of Helsinki, Finland

autor

Susanna Varonen

• Department of Mathematics and Statistics, P.O. Box 68, (Gustaf Hällströmin katu 2b), FIN-00014 University of Helsinki, Finland

Identyfikatory

DOI

10.4064/bc68-0-6