A priori bounds and existence of positive solutions of an elliptic system of Kirchhoff type in three or four space dimensions

被引：3

作者：

Chen, Zhengmao ^{[1
]}

机构：

[1] Hunan Normal Univ, Coll Math & Stat, Minist Educ China, Key Lab High Performance Comp & Stochast Informat, Changsha 410081, Hunan, Peoples R China

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2018年 / 20卷 / 03期

关键词：

Positive solutions; non-variational elliptic system; a priori bounds; ASYMPTOTIC-BEHAVIOR; EQUATION; MULTIPLICITY; UNIQUENESS; THEOREMS;

D O I：

10.1007/s11784-018-0600-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let be a bounded and smooth domain. Assuming that , , we consider the following elliptic problem of Kirchhoff type Under some assumptions of , we get a priori bounds of the positive solutions to the problem (0.1) when and p, q satisfy , and . By these estimates and the method of continuity, we get the existence for the positive solutions to the problem (0.1). Moreover, the effect of the term on the solution set of the problem (0.1) also can be given in section 2.

引用

页数：23

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