On Some Properties of Relative Capacity and Thinness in Weighted Variable Exponent Sobolev Spaces
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Tarih
2020
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer International Publishing Ag
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
Anahtar Kelimeler
weighted variable exponent Sobolev space, relative capacity, Sobolev capacity, thinness
Kaynak
Analysis Mathematica
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
46
Sayı
1
