数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (3): 905-916.doi: 10.1016/S0252-9602(14)60058-8

• 论文 • 上一篇    下一篇

A QUASILINEAR SINGULAR ELLIPTIC SYSTEM WITHOUT COOPERATIVE STRUCTURE

Dumitru MOTREANU, Abdelkrim MOUSSAOUI   

  1. D´epartement de Math´ematiques, Universit´e de Perpignan, 66860 Perpignan, France; Biology Department, A. Mira Bejaia University, Targa Ouzemour 06000 Bejaia, Algeria
  • 收稿日期:2013-04-23 修回日期:2013-09-03 出版日期:2014-05-20 发布日期:2014-05-20
  • 基金资助:

    The second author was supported by the European program Averroes-Erasmus Mundus (1872).

A QUASILINEAR SINGULAR ELLIPTIC SYSTEM WITHOUT COOPERATIVE STRUCTURE

Dumitru MOTREANU, Abdelkrim MOUSSAOUI   

  1. D´epartement de Math´ematiques, Universit´e de Perpignan, 66860 Perpignan, France; Biology Department, A. Mira Bejaia University, Targa Ouzemour 06000 Bejaia, Algeria
  • Received:2013-04-23 Revised:2013-09-03 Online:2014-05-20 Published:2014-05-20
  • Supported by:

    The second author was supported by the European program Averroes-Erasmus Mundus (1872).

摘要:

In this article, we investigate the existence of positive solutions of a singular quasilinear elliptic system for which the cooperative structure is not required. The approach is based on the Schauder fixed point theorem combined with perturbation arguments that involve the singular terms.

关键词: Singular system, p-Laplacian, Schauder´s fixed point theorem, bounded solu-tion, Moser iteration

Abstract:

In this article, we investigate the existence of positive solutions of a singular quasilinear elliptic system for which the cooperative structure is not required. The approach is based on the Schauder fixed point theorem combined with perturbation arguments that involve the singular terms.

Key words: Singular system, p-Laplacian, Schauder´s fixed point theorem, bounded solu-tion, Moser iteration

中图分类号: 

  • 35J75