Existence of solutions of sublinear elliptic systems with quadratic growth in the gradient

被引：1
|
作者：
Benrhouma, Mohamed [1 ]
机构：
[1] Univ Monastir, Sci Fac Monastir, Dept Math, Monastir 5019, Tunisia
来源：
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2014年 / 21卷 / 05期
关键词：
Sublinear elliptic systems; Quadratic growth in the gradient; Nonnegative solutions; POSITIVE ENTIRE SOLUTIONS; UNIQUENESS; EQUATIONS; NONEXISTENCE; SYMMETRY; TERMS;
D O I：
10.1007/s00030-014-0264-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we deal with the following sublinear elliptic system: where 0 < p < 1 and 0 < q < 1. Under suitable assumptions on the terms a, b, f and g and by using the Schauder fixed point theorem, we obtain a solution for an approximated system. The limit of the approximated solutions is a nonnegative solution.
引用
收藏
页码：737 / 749
页数：13
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