SOME PROPERTIES OF VARIABLE SOBOLEV CAPACITY*

R. Mashiyev

doi:10.11650/twjm/1500602428

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Home > Journals > Taiwanese J. Math. > Volume 12 > Issue 3 > Article

2008 SOME PROPERTIES OF VARIABLE SOBOLEV CAPACITY*

R. Mashiyev

Taiwanese J. Math. 12(3): 671-678 (2008). DOI: 10.11650/twjm/1500602428

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Abstract

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.