On the spectrum of a fourth order nonlinear eigenvalue problem with variable exponent and indefinite potential

被引：0
|
作者：
Zhou, Qing-Mei [1 ]
Wang, Ke-Qi [2 ]
机构：
[1] Northeast Forestry Univ, Harbin 150040, Peoples R China
[2] Northeast Forestry Univ, Coll Mech & Elect Engn, Harbin 150040, Peoples R China
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2016年 / 58期
基金：
中国国家自然科学基金;
关键词：
fourth order elliptic equation; eigenvalue problem; variable exponent; indefinite potential; FUNCTIONALS; EXISTENCE; EQUATION;
D O I：
10.14232/ejqtde.2016.1.58
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present paper deals with the spectrum of a fourth order nonlinear eigenvalue problem involving variable exponent conditions and a sign-changing potential. The main result of this paper establishes the existence of two positive constants lambda(0) and lambda(1) with lambda(0) <= lambda(1) such that every lambda is an element of [lambda(1), +infinity) is an eigenvalue, while lambda is an element of (-infinity, lambda(0)) cannot be an eigenvalue of the above problem.
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页数：14
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