EXISTENCE OF SOLUTIONS FOR SOME ELLIPTIC SYSTEMS WITH PERTURBED GRADIENT

被引：0

作者：

El Hammar, Hasnae ^{[1
]}

Temghart, Said Ait ^{[1
]}

Allalou, Chakir ^{[1
]}

Melliani, Said ^{[1
]}

机构：

[1] Sultan Moulay slimane Univ, Lab LMACS, FST Beni Mellal, Beni Mellal, Morocco

来源：

MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS | 2024年 / 92卷

关键词：

Quasilinear elliptic systems; approximate Galerkin method; Young measures; SPACES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence of weak solutions for some quasilinear elliptic problems with perturbed gradients under homogeneous Dirichlet boundary conditions. Using the approximate Galerkin method and combining the convergence in terms of Young measure and the theory of Sobolev spaces, we can prove that there is at least one weak solution u E W 01,p (x ) (52; R m ) to the problem treated.

引用

页码：101 / 116

页数：16

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