EXISTENCE AND ASYMPTOTIC BEHAVIOUR OF POSITIVE SOLUTIONS FOR SEMILINEAR ELLIPTIC SYSTEMS IN THE EUCLIDEAN PLANE

被引：0

作者：

Ghanmi, Abdeljabbar ^{[1
]}

Toumi, Faten ^{[1
]}

机构：

[1] Fac Sci Tunis, Dept Math, Tunis 2092, Tunisia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年

关键词：

Green function; semilinear elliptic systems; positive solution;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the semilinear elliptic system Delta u = lambda p(x)f(v), Delta v = lambda q(x)g(u), in an unbounded domain D in R-2 with compact boundary subject to some Dirichlet conditions. We give existence results according to the monotonicity of the nonnegative continuous functions f and g. The potentials p and q are nonnegative and required to satisfy some hypotheses related on a Kato class.

引用

页数：9

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