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.

引用

页数：9

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