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.
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页码：1948 / 1971
页数：24
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