A note on nonlinear fourth-order elliptic equations on

被引：0
|
作者：
Li, Lin [1 ]
Pan, Wen-Wu [2 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
[2] Sichuan Univ Sci & Engn, Dept Sci, Zigong 643000, Peoples R China
来源：
JOURNAL OF GLOBAL OPTIMIZATION | 2013年 / 57卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Multiple solutions; Three critical points theorem; Nonlinear fourth-order elliptic equations; Variational method; MULTIPLICITY; EXISTENCE; SYSTEM;
D O I：
10.1007/s10898-012-0031-0
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
We established the existence of weak solutions of the fourth-order elliptic equation of the form where is a positive parameter, and are positive functions, while is sublinear at infinity and superlinear at the origin. In particular, by using Ricceri's recent three critical points theorem, we show that the problem has at least three solutions.
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页码：1319 / 1325
页数：7
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