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

被引：8

作者：

Aydin, Ismail ^{[1
]}

Unal, Cihan ^{[2
]}

机构：

[1] Sinop Univ, Dept Math, TR-57000 Sinop, Turkey

[2] Assessment Select & Placement Ctr, TR-06800 Ankara, Turkey

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2020年 / 49卷 / 04期

关键词：

quasilinear elliptic equation; weighted stochastic field exponent Sobolev spaces; pseudo-monotone operator; compact embedding theorem; VARIABLE EXPONENT;

D O I：

10.15672/hujms.561682

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1383 / 1396

页数：14

共 16 条

[1]

[Anonymous], 2006, International Mathematical Forum

[2] Lebesgue spaces with variable exponent on a probability space [J].