Least energy sign-changing solutions for a class of fourth order Kirchhoff-type equations in RN

被引：5
|
作者：
Khoutir, Sofiane [1 ]
Chen, Haibo [1 ]
机构：
[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2017年 / 55卷 / 1-2期
关键词：
Fourth order kirchhoff-type equations; Nehari method; Least energy sign-changing solution; GROUND-STATE SOLUTIONS; ELLIPTIC-EQUATIONS; SCHRODINGER-EQUATIONS; EXISTENCE; MULTIPLICITY; BEAM;
D O I：
10.1007/s12190-016-1023-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we study the problem Delta(2)u - (a + b integral(RN) vertical bar del u vertical bar(2) dx) Delta u + V(x)u = vertical bar u vertical bar(p-2) u in R-N, where Delta(2) := Delta(Delta) is the biharmonic operator, a, b > 0 are constants, N <= 7, p is an element of (4, 2(*)) for 2(*) defined below, and V(x) is an element of C(R-N, R). Under appropriate assumptions on V( x), the existence of least energy sign-changing solution is obtained by combining the variational methods and the Nehari method.
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页码：25 / 39
页数：15
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