Singular quasilinear convective elliptic systems in ℝN

Abstract

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.

Keywords

• quasilinear elliptic system
• gradient dependence
• singular term
• entire solution
• strong solution
• 35j47
• 35j75
• 35b08
• 35d35