Existence of solutions for a quasilinear elliptic system with variable exponent

被引：3
|
作者：
Balaadich, Farah [1 ]
Azroul, Elhoussine [1 ]
机构：
[1] Univ Sidi Mohamed Ben Abdellah, Fac Sci Dhar El Mehraz, BP 1796 Atlas, Fes, Morocco
来源：
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2021年 / 12卷 / 02期
关键词：
Quasilinear elliptic systems; Sobolev spaces with variable exponent; Weak solutions; Young measures; GRADIENT;
D O I：
10.22075/ijnaa.2019.18418.2011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the following quasilinear elliptic system in a Sobolev space with variable exponent: -div(a(vertical bar Du vertical bar)Du) = f, where a is a C-1-function and f is an element of W--1,W-P'(x) (Omega;R-m). We use the theory of Young measures and weak monotonicity conditions to obtain the existence of solutions.
引用
收藏
页码：205 / 217
页数：13
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