Quasilinear elliptic systems with nonstandard growth and weak monotonicity

被引：0
作者：
Elhoussine Azroul
Farah Balaadich
机构：
[1] University Sidi Mohamed Ben Abdellah,Department of Mathematics, Faculty of Sciences Dhar El Mehraz
来源：
Ricerche di Matematica | 2020年 / 69卷
关键词：
Orlicz–Sobolev spaces; Quasilinear elliptic systems; Weak solution; Young measures; 35J57; 35D30; 46E30;
D O I：
暂无
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学科分类号：
摘要：
We prove the existence of solutions for a quasilinear elliptic system -divσ(x,u,Du)=f(x,u,Du)inΩ,u=0on∂Ω.\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} \left\{ \begin{array}{ll} -\text {div}\,\sigma (x,u,Du)&{}=f(x,u,Du)\quad \text {in}\;\varOmega ,\\ u&{}=0\quad \text {on}\;\partial \varOmega . \end{array} \right. \end{aligned}$$\end{document}The results are obtained in Orlicz–Sobolev spaces by means of the Young measures.
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页码：35 / 51
页数：16
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