GROUND STATE SOLUTIONS FOR p-BIHARMONIC EQUATIONS

被引：0
|
作者：
Liu, Xiaonan [1 ]
Chen, Haibo [1 ]
Almuaalemi, Belal [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：
p-biharmonic equations; Nehari manifold; ground state solution; NONLINEAR ELLIPTIC PROBLEMS; SIGN-CHANGING SOLUTIONS; MULTIPLE SOLUTIONS; CRITICAL GROWTH; R-N;
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 p-biharmonic equation Delta(2)(p)u + V (x) vertical bar u vertical bar(p-2) u = f (x,u); x is an element of R-N, where Delta(2)(p)u = Delta (vertical bar Delta(u)vertical bar(p-2) Delta u) is the p-biharmonic operator. When V (x) and f (x,u) satisfy some conditions, we prove that the above equations have Nehari-type ground state solutions.
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页数：9
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