A weak solution to quasilinear elliptic problems with perturbed gradient

被引：27

作者：

Azroul, Elhoussine ^{[1
]}

Balaadich, Farah ^{[1
]}

机构：

[1] Fac Sci Dhar El Mehraz, Dept Math, BP 1796, Atlas, Fez, Morocco

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2021年 / 70卷 / 01期

关键词：

Quasilinear elliptic systems; Weak solutions; Sobolev space; Young measure; DIVERGENCE FORM; EQUATIONS; SYSTEMS; REGULARITY;

D O I：

10.1007/s12215-020-00488-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider weak solutions to the Dirichlet problem where {-div A(x, Du - Theta(u)) = f in Omega, u = 0 on partial derivative Omega, where Theta : R-m -> M-mxn is a continuous function assumed to satisfy a Lipschitz condition. Based on the theory of Young measures, we prove the existence result when f is an element of W--1,W-p' (Omega;R-m).

引用

页码：151 / 166

页数：16

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