INFINITELY MANY SOLUTIONS FOR HARDY-HENON TYPE ELLIPTIC SYSTEM IN HYPERBOLIC SPACE

被引：4
|
作者：
He, Haiyang [1 ]
机构：
[1] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China
来源：
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2015年 / 40卷 / 02期
关键词：
Hardy-Henon type system; strongly indefinite; hyperbolic space; EQUATION; EXISTENCE; INEQUALITIES;
D O I：
10.5186/aasfm.2015.4056
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the existence results for Hardy-Henon type strongly indefinite elliptic system (0.1) {-Delta(HN)u = (d(b)(x))(alpha)vertical bar v vertical bar(p-1)v, -Delta(HN)u = (d(b)(x))(beta)vertical bar v vertical bar(q-1)u, in the whole hyperbolic space H-N, where alpha, beta is an element of R, N > 4, d(b)(x) = d(HN)(b, x), and b is a fixed point in hyperbolic space. We prove that there exist infinitely many nontrivial radial solutions for problem (0.1) under some suitable conditions.
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页码：969 / 983
页数：15
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