Nontrivial Solutions for Asymmetric Kirchhoff Type Problems

被引：1
|
作者：
Pei, Ruichang [1 ]
Zhang, Jihui [2 ]
机构：
[1] Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China
[2] Nanjing Normal Univ, Inst Math, Sch Math & Comp Sci, Nanjing 210097, Jiangsu, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
基金：
中国国家自然科学基金;
关键词：
POSITIVE SOLUTIONS; EQUATION; EXISTENCE; INFINITY;
D O I：
10.1155/2014/163645
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a class of particular Kirchhoff type problems with a right-hand side nonlinearity which exhibits an asymmetric growth at +infinity and -infinity in R-N (N = 2,3). Namely, it is 4-linear at -infinity and 4-superlinear at +infinity. However, it need not satisfy the Ambrosetti-Rabinowitz condition on the positive semiaxis. Some existence results for nontrivial solution are established by combining Mountain Pass Theorem and a variant version of Mountain Pass Theorem with Moser-Trudinger inequality.
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页数：8
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