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

页码：1948 / 1971

页数：24

共 13 条

[11] Harnack inequalities, maximum and comparison principles, and regularity of positive solutions of m-laplace equations
Lucio Damascelli
Berardino Sciunzi
Calculus of Variations and Partial Differential Equations, 2006, 25 : 139 - 159
[12] Maximum principles, ABP estimates and HKS inequalities related to GLE systems
Leite, Edir Junior Ferreira
Montenegro, Marcos
ANNALI DI MATEMATICA PURA ED APPLICATA, 2025, 204 (02) : 573 - 592
[13] Comparison principles for systems of Caputo fractional order ordinary differential equations
Wu, Cong
CHAOS SOLITONS & FRACTALS, 2023, 171

← 1 2 →