Solutions for a Nonlocal Elliptic System with General Growth

被引：2

作者：

Mbarki, Lamine ^{[1
]}

Tavares, Leandro S. ^{[2
]}

Sousa, J. Vanterler C. ^{[3
]}

机构：

[1] Univ Tunis Manar, Fac Sci Tunis, Dept Math, Tunis 2092, Tunisia

[2] Fed Univ Cariri, Ctr Sci & Technol, BR-63048080 Juazeiro do Norte, CE, Brazil

[3] Univ Estadual Maranhao, Dept Math,Aerosp Engn, PPGEA, DEMATI UEMA, BR-65054 Sao Luis, MA, Brazil

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2023年 / 17卷 / 08期

关键词：

p-Laplacian; Nonlocal problem; Fixed point; Quasilinear equation; Sub-supersolutions; BLOW-UP; POSITIVE SOLUTIONS; GLOBAL EXISTENCE; REGULARITY; LAPLACIAN; EQUATION;

D O I：

10.1007/s11785-023-01444-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This manuscript explores the existence of solutions for a quasilinear nonlocal system that incorporates the p-Laplacian operator. The system considered arise in relevant applications including Population Dynamics, nuclear reactor dynamics, flow of fluids in a homogeneous isotropic rigid porous medium, and vibration problems. The arguments presented in this manuscript rely on Schauder's Fixed Point Theorem and sub-supersolutions. The obtained results complete some classical and recent results and allow to consider superlinear growth conditions in the nonlocal terms.

引用

页数：12

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