Positive solutions for singular elliptic systems with convection term

被引：0
|
作者：
Dumitru Motreanu
Abdelkrim Moussaoui
Zhitao Zhang
机构：
[1] Université de Perpignan,Département de Mathématiques
[2] Mira Bejaia University,Biology Department
[3] Chinese Academy of Sciences,Academy of Mathematics and Systems Science, and Hua Loo
来源：
Journal of Fixed Point Theory and Applications | 2017年 / 19卷
关键词：
Singular system; convection term; Schauder’s fixed-point theorem; regularity; Primary 35J75; Secondary 35J48; 35J92;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
引用
收藏
页码：2165 / 2175
页数：10
相关论文
共 50 条
  • [1] Positive solutions for singular elliptic systems with convection term
    Motreanu, Dumitru
    Moussaoui, Abdelkrim
    Zhang, Zhitao
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (03) : 2165 - 2175
  • [2] Existence of solutions for a class of singular elliptic systems with convection term
    Alves, Claudianor O.
    Moussaoui, Abdelkrim
    ASYMPTOTIC ANALYSIS, 2014, 90 (3-4) : 237 - 248
  • [3] Positive solutions for a class of singular elliptic systems
    Mi, Ling
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2017, (24) : 1 - 13
  • [4] Existence of positive solutions for a class of singular elliptic problems with convection term and critical exponential growth
    Baraket, Sami
    Ben Ghorbal, Anis
    Figueiredo, Giovany M.
    BOUNDARY VALUE PROBLEMS, 2024, 2024 (01):
  • [5] Very weak solutions to elliptic equations with singular convection term
    Greco, Luigi
    Moscariello, Gioconda
    Zecca, Gabriella
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 457 (02) : 1376 - 1387
  • [6] Existence of positive radial solutions for singular elliptic systems
    Aying W.
    Daqing J.
    Applied Mathematics-A Journal of Chinese Universities, 2001, 16 (2) : 141 - 148
  • [7] Positive solutions for a class of elliptic systems with singular potentials
    P. C. Carrião
    N. H. Lisboa
    O. H. Miyagaki
    Zeitschrift für angewandte Mathematik und Physik, 2015, 66 : 317 - 339
  • [8] EXISTENCE OF POSITIVE RADIAL SOLUTIONS FOR SINGULAR ELLIPTIC SYSTEMS
    Wan Aying Jiang DaqingDept.ofMath.
    Applied Mathematics:A Journal of Chinese Universities, 2001, (02) : 141 - 148
  • [9] Positive solutions for a class of elliptic systems with singular potentials
    Carriao, P. C.
    Lisboa, N. H.
    Miyagaki, O. H.
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2015, 66 (02): : 317 - 339
  • [10] On positive solutions for a class of singular quasilinear elliptic systems
    Miyagaki, O. H.
    Rodrigues, R. S.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (02) : 818 - 833
12345