EXISTENCE OF SOLUTIONS FOR A NON-VARIATIONAL SYSTEM OF ELLIPTIC PDE'S VIA TOPOLOGICAL METHODS

被引：0

作者：

Soltani, Fethi ^{[1
]}

Yazidi, Habib ^{[2
]}

机构：

[1] Jazan Univ, Fac Sci, Dept Math, POB 277, Jazan 45142, Saudi Arabia

[2] Univ Tunis, Natl Sch Engn Tunis, Dept Math, 5 St Taha Hssine, Tunis 1008, Tunisia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年

关键词：

Biharmonic equation; non-variational system; a priori estimates; POSITIVE SOLUTIONS; CRITICAL EXPONENTS; EQUATIONS;

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 article, we prove the existence of solutions for a non variational system of elliptic PDE's. Also we study a system of bi-Laplacian equations with two nonlinearities and without variational assumptions. First, we prove a priori solution estimates, and then we use fixed point theory, to deduce the existence of solutions. Finally, to complement of the existence theorem, we establish a non-existence result.

引用

页数：13

共 21 条

[1] On systems of elliptic equations involving subcritical or critical Sobolev exponents [J].