Weighted stochastic field exponent Sobolev spaces and nonlinear degenerated elliptic problem with nonstandard growth
| Autor: | Cihan Unal, Ismail Aydin |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Statistics and Probability
Pure mathematics Matematik Algebra and Number Theory Stochastic field Function space Quasilinear elliptic equation Weighted stochastic field exponent Sobolev spaces Pseudo-monotone operator Compact embedding theorem Omega Sobolev space Stochastic partial differential equation Nonlinear system Exponent Geometry and Topology Analysis Mathematics |
| Zdroj: | Volume: 49, Issue: 4 1383-1396 Hacettepe Journal of Mathematics and Statistics |
| ISSN: | 2651-477X |
| Popis: | 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.********************************************************************************************************************************************************************* |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|