Positive eigenfunctions for nonlocal dispersal problems

被引:1
|
作者
Sun, Jian-Wen [1 ,2 ]
机构
[1] Renmin Univ China, Inst Math Sci, Beijing 100872, Peoples R China
[2] Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
基金
中国博士后科学基金;
关键词
Nonlocal dispersal; Principal eigenvalue; Weight function; EXISTENCE; EQUATION; EIGENVALUE; EVOLUTION;
D O I
10.1016/j.aml.2019.106008
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we investigate the positive eigenfunctions for a class of weighted nonlocal eigenvalue problems. Using some nonlocal estimates and a nonlinear functional, we obtain the existence of a principal eigenvalue and its variational characterization. (C) 2019 Published by Elsevier Ltd.
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页数:8
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