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Öğe On Some Properties of Relative Capacity and Thinness in Weighted Variable Exponent Sobolev Spaces(Springer International Publishing Ag, 2020) Unal, C.; Aydin, I.We define the weighted relative p(.)-capacity and discuss its properties in the space W 1,p(.). (Rn). Also, we investigate some properties of the weighted variable Sobolev capacity. It is shown that there is a relation between these two capacities. Moreover, we introduce the notion of thinness related to this newly defined relative capacity and prove an equivalence statement for this thinness.