On a strongly anisotropic equation with L1 data

被引：11
|
作者：
Chrif, M. [2 ]
El Manouni, S. [1 ]
机构：
[1] Al Imam Univ, Dept Math, Fac Sci, Riyadh, Saudi Arabia
[2] Fes Univ, Dept Math, Fac Sci, Atlas Fes, Fes, Morocco
来源：
APPLICABLE ANALYSIS | 2008年 / 87卷 / 07期
关键词：
strongly non-linear problem; anisotropic spaces; finite order; L-1; data; monotonicity condition; sign condition;
D O I：
10.1080/00036810802307546
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we shall be concerned with the existence of solutions for the strongly non-linear boundary value problem: Au + g(x, u) = f, where A is an elliptic operator of finite order defined from an anisotropic Sobolev space of order m to its dual, g is a Caratheodory function satisfying essentially a sign condition on u with no growth restrictions and f belongs to L-1.
引用
收藏
页码：865 / 871
页数：7
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