EXISTENCE OF SOLUTIONS FOR KIRCHHOFF TYPE EQUATIONS WITH UNBOUNDED POTENTIAL

被引：0
作者：
Duan, Yueliang [1 ]
Zhou, Yinggao [1 ]
机构：
[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年
基金：
中国国家自然科学基金;
关键词：
MULTIPLE POSITIVE SOLUTIONS; SIGN-CHANGING SOLUTIONS; HIGH-ENERGY SOLUTIONS; NONTRIVIAL SOLUTIONS; R-N; CRITICAL EXPONENT; SINGULARITY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study the Kirchhoff type equation (a + lambda f integral(3)(R) vertical bar del u vertical bar(2) + lambda b integral(3)(R) u(2))[-Delta u + bu] = K(x)vertical bar u vertical bar p(-1) in R-3 where a, b > 0, p is an element of (2, 5), lambda >= 0 is a parameter, and K may be an unbounded potential function. By using variational methods, we prove the existence of nontrivial solutions for the above equation. A cut-off functional and some estimates are used to obtain the bounded Palais-Smale sequences.
引用
收藏
页数：12
相关论文
共 29 条
123