Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 49 Issue: 4

Weighted stochastic field exponent Sobolev spaces and nonlinear degenerated elliptic problem with nonstandard growth

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Yayın Tarihi
2020-08-06
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we present an application for defined spaces to the stochastic partial differential equations with stochastic field growth. *********************************************************************************************************************************************************************

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, we consider weighted stochastic field exponent function spaces $L_{\vartheta }^{p(.,.)}\left( D\times \Omega \right) $ and $W_{\vartheta }^{k,p(.,.)}\left( D\times \Omega \right) $.
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Temel Bulgular & Veri:Also, we study some basic properties and embeddings of these spaces.
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Sonuç & Katkı:Finally, we present an application for defined spaces to the stochastic partial differential equations with stochastic field growth. *********************************************************************************************************************************************************************
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Quasilinear elliptic equation · Weighted stochastic field exponent Sobolev spaces · Pseudo-monotone operator

Abstract

In this study, we consider weighted stochastic field exponent function spaces $L_{\vartheta }^{p(.,.)}\left( D\times \Omega \right) $ and $W_{\vartheta }^{k,p(.,.)}\left( D\times \Omega \right) $. 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. *********************************************************************************************************************************************************************

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Bu Makaleye Atıf Yap

Aydın, İ., Unal, C. (2020). Weighted stochastic field exponent Sobolev spaces and nonlinear degenerated elliptic problem with nonstandard growth. Hacettepe Journal of Mathematics and Statistics, Volume: 49 Issue: 4. https://doi.org/10.15672/hujms.561682

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Kaynakça (16)

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