Existence and uniqueness of positive solution for non-variational elliptic systems

被引：1
|
作者：
de Araujo, Anderson L. A. [1 ]
Ferreira Leite, Edir Junior [1 ]
机构：
[1] Univ Fed Vicosa, Dept Matemat, Ave Peter Henry Rolfs S-N, BR-36570900 Vicosa, MG, Brazil
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 491卷 / 01期
关键词：
Elliptic system; Existence of solution; Galerkin scheme; Comparison principle; INEQUALITY;
D O I：
10.1016/j.jmaa.2020.124284
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the existence of solutions for strongly coupled elliptic systems in non-variational form involving second order uniformly elliptic linear operators in Omega. We also derive classes of systems having a multiplicity of solutions and the uniqueness of a solution. For this purpose, we use the Galerkin scheme in the product of Hilbert spaces. Using the comparison principle for systems of Lane-Emden we compare the obtained solutions. (C) 2020 Elsevier Inc. All rights reserved.
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页数：15
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