ON SOME NONLOCAL EIGENVALUE PROBLEMS

被引：8
|
作者：
Agarwal, Ravi P. [1 ]
Perera, Kanishka [2 ]
Zhang, Zhitao [3 ]
机构：
[1] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA
[2] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA
[3] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2012年 / 5卷 / 04期
关键词：
Nonlocal eigenvalue problems; minimax eigenvalues; Z(2)-cohomological index; nontrivial critical groups; nonlocal boundary value problems; multiplicity; Morse theory; EQUATION;
D O I：
10.3934/dcdss.2012.5.707
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a class of nonlocal eigenvalue problems related to certain boundary value problems that arise in many application areas. We construct a nondecreasing and unbounded sequence of eigenvalues that yields nontrivial critical groups for the associated variational functional using a nonstandard minimax scheme that involves the Z(2)-cohomological index. As an application we prove a multiplicity result for a class of nonlocal boundary value problems using Morse theory.
引用
收藏
页码：707 / 714
页数：8
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