A strongly nonlinear elliptic equation having natural growth terms and L1 data

被引：23
作者：
Benkirane, A
Elmahi, A
机构：
[1] CPR Fes, Fes, Morocco
[2] Fac Sci Dhar Mahraz, Dept Math, Fes, Morocco
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2000年 / 39卷 / 04期
关键词：
Orlicz-Sobolev spaces; truncations; strongly nonlinear elliptic problem;
D O I：
10.1016/S0362-546X(98)00180-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An existence theorem is proven for equations of the form A(u)+g(x, u, ▽u) = f in D′(Ω), u∈W01,p(Ω), g(x, u, ▽u)∈L1(Ω), in the setting of Orlicz-Sobolev spaces W1 LM. The result is obtained under the assumption that the N-function M satisfies the Δ2 condition near infinity, but it is not clear whether the proof can be further adapted to obtain the same result for general N-functions.
引用
收藏
页码：403 / 411
页数：9
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