A PRIORI BOUNDS AND POSITIVE SOLUTIONS FOR NON-VARIATIONAL FRACTIONAL ELLIPTIC SYSTEMS

被引：0

作者：

Ferreira Leite, Edir Junior ^{[1
]}

Montenegro, Marcos ^{[2
]}

机构：

[1] Univ Fed Vicosa, Dept Matemat, BR-36570000 Vicosa, MG, Brazil

[2] Univ Fed Minas Gerais, Dept Matemat, Caixa Postal 702, BR-30123970 Belo Horizonte, MG, Brazil

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2017年 / 30卷 / 11-12期

关键词：

STRONGLY INDEFINITE SYSTEMS; LIOUVILLE-TYPE THEOREMS; NONLINEAR EQUATIONS; LAPLACIAN; REGULARITY; EXISTENCE; OPERATORS; EIGENVALUES; BEHAVIOR;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study strongly coupled elliptic systems in non-variational form involving fractional Laplace operators. We prove Liouville type theorems and, by mean of the blow-up method, we establish a priori bounds of positive solutions for subcritical and superlinear nonlinearities in a coupled sense. By using those latter, we then derive the existence of positive solutions through topological methods.

引用

页码：947 / 974

页数：28

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