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.

引用

页数：15

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