SOLUTIONS TO KIRCHHOFF EQUATIONS WITH COMBINED NONLINEARITIES

被引：0
|
作者：
Ding, Ling [1 ]
Li, Lin [2 ]
Zhang, Jing-Ling [1 ]
机构：
[1] Hubei Univ Arts & Sci, Sch Math & Comp Sci, Wuhan 441053, Hubei, Peoples R China
[2] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年
基金：
中国国家自然科学基金;
关键词：
Kirchhoff equation; asymptotically linear; asymptotically; 3-linear; positive solution; mountain pass lemma; NONTRIVIAL SOLUTIONS; POSITIVE SOLUTIONS; MULTIPLE SOLUTIONS; EXISTENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the existence of multiple positive solutions for the Kirchhoff equation -(a + b)integral(Omega)vertical bar del u vertical bar(2)dx)Delta u = h(x)u(q) + f (x, u), x is an element of Omega, u = 0, x is an element of partial derivative Omega, Here Omega is an open bounded domain in R-N (N = 1, 2, 3), h(x) is an element of L-infinity(Omega) f (x, s) is a continuous function which is asymptotically linear at zero and is asymptotically 3-linear at infinity. Our main tools are the Ekeland's variational principle and the mountain pass lemma.
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页数：10
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