Singular quasilinear convective elliptic systems in Double-struck capital RN

被引:15
|
作者
Guarnotta, Umberto [1 ]
Marano, Salvatore Angelo [1 ]
Moussaoui, Abdelkrim [2 ]
机构
[1] Univ Catania, Dipartimento Matemat & Informat, Viale A Doria 6, I-95125 Catania, Italy
[2] A Mira Bejaia Univ, Fac Exact Sci, LMA, Bejaia 06000, Algeria
关键词
quasilinear elliptic system; gradient dependence; singular term; entire solution; strong solution; POSITIVE SOLUTIONS; EQUATIONS; REGULARITY; EXISTENCE;
D O I
10.1515/anona-2021-0208
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The existence of a positive entire weak solution to a singular quasi-linear elliptic system with convection terms is established, chiefly through perturbation techniques, fixed point arguments, and a priori estimates. Some regularity results are then employed to show that the obtained solution is actually strong.
引用
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页码:741 / 756
页数:16
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