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

页码：737 / 749

页数：13

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