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.

中文翻译：

---

ℝN 中的奇异拟线性对流椭圆系统

主要通过摄动技术、不动点参数和先验估计，建立了具有对流项的奇异拟线性椭圆系统的正全弱解的存在性。然后使用一些规律性结果来表明所获得的解决方案实际上是强的。