Weighted stochastic field exponent Sobolev spaces and nonlinear degenerated elliptic problem with nonstandard growth
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Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Hacettepe Univ, Fac Sci
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, we consider weighted stochastic field exponent function spaces L-v(p(.,.))(D x Omega) and W-v(k,p(.,.))( (D x Omega). Also, we study some basic properties and embeddings of these spaces. Finally, we present an application for defined spaces to the stochastic partial differential equations with stochastic field growth.
Açıklama
Anahtar Kelimeler
quasilinear elliptic equation, weighted stochastic field exponent Sobolev spaces, pseudo-monotone operator, compact embedding theorem
Kaynak
Hacettepe Journal of Mathematics and Statistics
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
49
Sayı
4
