Journal of Fixed Point Theory and Applications

, Volume 19, Issue 3, pp 2165–2175 | Cite as

Positive solutions for singular elliptic systems with convection term

  • Dumitru Motreanu
  • Abdelkrim Moussaoui
  • Zhitao Zhang
Article
First Online:

Abstract

We prove the existence and regularity of solutions for a quasi-linear elliptic system with convection terms that can be singular in the solution and its gradient. Comparison properties and a priori estimates are also obtained. Our approach relies on invariance, regularity, strong maximum principle, and fixed-point arguments.

Keywords

Singular system convection term Schauder’s fixed-point theorem regularity 

Mathematics Subject Classification

Primary 35J75 Secondary 35J48 35J92 
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Copyright information

© Springer International Publishing 2017

Authors and Affiliations

  • Dumitru Motreanu
    • 1
  • Abdelkrim Moussaoui
    • 2
  • Zhitao Zhang
    • 3
  1. 1.Département de MathématiquesUniversité de PerpignanPerpignanFrance
  2. 2.Biology DepartmentMira Bejaia UniversityBejaïaAlgeria
  3. 3.Academy of Mathematics and Systems Science, and Hua Loo-Keng Key Laboratory of MathematicsChinese Academy of SciencesBeijingChina

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