SOME PROPERTIES OF VARIABLE SOBOLEV CAPACITY

SOME PROPERTIES OF VARIABLE SOBOLEV CAPACITY

This paper deals with relationship between singular measure and corresponding p(x)-capacity. It we have proved that the value of capacity of an arbitrary capacitor is completely determined by an absolutely continuous component of the measure, and the contribution of a singular part of the measure ap...

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Veröffentlicht in:Taiwanese journal of mathematics 2008-06, Vol.12 (3), p.671-678
1. Verfasser: Mashiyev, R.
Format: Artikel
Sprache:eng
Schlagworte:
Capacitors
Hausdorff measures
Lebesgue measures
Mathematical functions
Mathematical inequalities
Mathematical integrals
Sobolev spaces
Zero
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Zusammenfassung:This paper deals with relationship between singular measure and corresponding p(x)-capacity. It we have proved that the value of capacity of an arbitrary capacitor is completely determined by an absolutely continuous component of the measure, and the contribution of a singular part of the measure appears to be zero.
ISSN:1027-5487
2224-6851
DOI:10.11650/twjm/1500602428