Positive solutions for singular elliptic systems with convection term

Springer Science and Business Media LLC - Tập 19 - Trang 2165-2175 - 2017
Dumitru Motreanu1, Abdelkrim Moussaoui2, Zhitao Zhang3
1Département de Mathématiques, Université de Perpignan, Perpignan, France
2Biology Department, Mira Bejaia University, Bejaïa, Algeria
3Academy of Mathematics and Systems Science, and Hua Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences, Beijing, China

Tóm tắt

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.

Tài liệu tham khảo

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