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

Aydin, IsmailUnal, Cihan2025-03-232025-03-2320202651-477Xhttps://doi.org/10.15672/hujms.561682https://search.trdizin.gov.tr/tr/yayin/detay/489971https://hdl.handle.net/11486/5011In 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.eninfo:eu-repo/semantics/openAccessquasilinear elliptic equationweighted stochastic field exponent Sobolev spacespseudo-monotone operatorcompact embedding theoremWeighted stochastic field exponent Sobolev spaces and nonlinear degenerated elliptic problem with nonstandard growthArticle4941383139610.15672/hujms.5616822-s2.0-85090810315Q2489971WOS:000562117700013Q2