A class of fourth-order elliptic equations with concave and convex nonlinearities in RN

被引：1

作者：

Wu, Zijian ^{[1
]}

Chen, Haibo ^{[1
]}

机构：

[1] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2021年 / 71期

关键词：

fourth-order elliptic equation; multiple solutions; Nehari manifold; Ekeland variational principle; POSITIVE SOLUTIONS; NEHARI MANIFOLD; MULTIPLICITY;

D O I：

10.14232/ejqtde.2021.1.71

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the multiplicity of solutions for a class of fourth-order elliptic equations with concave and convex nonlinearities in R-N. Under the appropriate assumption, we prove that there are at least two solutions for the equation by Nehari manifold and Ekeland variational principle, one of which is the ground state solution.

引用

页码：1 / 16

页数：16

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