On Some Nonlocal Elliptic Systems with Gradient Source Terms

被引：5

作者：

Atmani, Somia ^{[1
]}

Biroud, Kheireddine ^{[2
]}

Daoud, Maha ^{[3
]}

Laamri, El-Haj ^{[4
]}

机构：

[1] Univ Abou Bakr Belkaid, Dept Math, Lab Anal Non Lineaire & Math Appl, Tilimsen 13000, Algeria

[2] Ecole Super Management Tlemcen, Lab Anal Non Lineaire & Math Appl, Tilimsen 13000, Algeria

[3] Univ Hassan 2, Fac Sci Ain Chock, Dept Math & Informat, Casablanca 20100, Morocco

[4] Univ Lorraine, Inst Elie Cartan, F-54506 Vandoeuvre Les Nancy, France

来源：

ACTA APPLICANDAE MATHEMATICAE | 2022年 / 181卷 / 01期

关键词：

Fractional diffusion; Nonlinear gradient terms; Nonlinear elliptic systems; Fixed-point theorem; A priori estimates; NATURAL GROWTH; EXISTENCE; EQUATIONS;

D O I：

10.1007/s10440-022-00528-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we investigate the existence and nonexistence of nonnegative solutions to a class of nonlocal elliptic systems set in a bounded open subset of R-N, where the gradients of the unknowns act as source terms (see (S) below). Our approach can be also used to treat other nonlinear systems with different structures. This work extends previous results obtained in the local case by the fourth author and his coworkers, and points to significant differences between the local and the nonlocal cases.

引用

页数：35

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