Principal curves to fractional m-Laplacian systems and related maximum and comparison principles

被引：0
|
作者：
de Araujo, Anderson L. A. [1 ]
Leite, Edir J. F. [2 ]
Medeiros, Aldo H. S. [1 ]
机构：
[1] Univ Fed Vicosa, Dept Matemat, BR-36570900 Vicosa, MG, Brazil
[2] Univ Fed Sao Carlos, Dept Matemat, BR-13565905 Sao Carlos, SP, Brazil
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2024年 / 27卷 / 04期
关键词：
Fractional m-Laplacian system; Principal eigenvalue; Lower estimate of eigenvalue; Maximum principle; Comparison principle; POSITIVE SOLUTIONS; EIGENVALUES; EXISTENCE; BOUNDS;
D O I：
10.1007/s13540-024-00293-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we develop a comprehensive study on principal eigenvalues and both the (weak and strong) maximum and comparison principles related to an important class of nonlinear systems involving fractional m-Laplacian operators. Explicit lower bounds for principal eigenvalues of this system in terms of the diameter of bounded domain Omega subset of R-N are also proved. As application, we measure explicitly how small has to be diam (Omega)so that weak and strong maximum principles associated to this problem hold in Omega.
引用
收藏
页码：1948 / 1971
页数：24
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