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

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2022年 / 11卷 / 01期

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

页码：741 / 756

页数：16

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