Existence of weak solutions for quasilinear elliptic systems in Orlicz spaces

被引：6
|
作者：
Azroul, Elhoussine [1 ]
Balaadich, Farah [1 ]
机构：
[1] Sidi Mohammed Ben Abdellah Univ, Fac Sci Dhar Mahraz, Dept Math & Informat, Fes, Morocco
来源：
APPLICABLE ANALYSIS | 2019年
关键词：
Quasilinear elliptic systems; Orlicz spaces; weak solutions; Young measures; BOUNDARY-VALUE-PROBLEMS;
D O I：
10.1080/00036811.2019.1680829
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article deals with the existence of solutions for a quasilinear elliptic system in divergence form: in ?, with boundary condition on , where and is a bounded open domain. The data f belongs to the dual space of and the resulting existence is proved by means of the Young measure and under mild monotonicity assumptions on sigma.
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页数：14
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