Existence results for some elliptic systems with perturbed gradient

被引：4
|
作者：
Temghart, Said Ait [1 ]
El Hammar, Hasnae [1 ]
Allalou, Chakir [1 ]
Hilal, Khalid [1 ]
机构：
[1] Sultan Moulay Slimane Univ, LMACS, FST Beni Mellal, Beni Mellal, Morocco
来源：
FILOMAT | 2023年 / 37卷 / 20期
关键词：
Elliptic systems; Weak solutions; Galerkin method; Young measures; LAPLACIAN; SPACES;
D O I：
10.2298/FIL2320905A
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the existence of weak solutions for some nonlinear elliptic problems with perturbed gradient under homogeneous Dirichlet boundary conditions. We apply the Galerkin approximation and the convergence in term of Young measure combined with the theory of Sobolev spaces to obtain the existence of at least one weak solution u is an element of W01,p(ohm; Rm).
引用
收藏
页码：6905 / 6915
页数：11
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