QUASILINEAR ELLIPTIC SYSTEMS WITH RIGHT-HAND SIDE IN DIVERGENCE FORM

被引：4

作者：

Azroul, Elhoussine ^{[1
]}

Balaadich, Farah ^{[1
]}

机构：

[1] Univ Sidi Mohamed Ben Abdallah, Fac Sci Dhar El Mahraz, Dept Math, BP 1796, Fes, Morocco

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2020年 / 50卷 / 06期

关键词：

Orlicz-Sobolev spaces; quasilinear elliptic systems; weak solution; Young measures; WEAK SOLUTIONS; INEQUALITIES; EXISTENCE; GRADIENT;

D O I：

10.1216/rmj.2020.50.1935

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of vector-valued solutions to quasilinear elliptic systems with nonpolynomial growth, namely N-functions. Existence of solutions is shown by means of the theory of Young measures, where the right-hand side is in the divergence form.

引用

页码：1935 / 1949

页数：15

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