Study On The Existence And Structure Of Solutions Of Two Quasilinear Elliptic Equations

This paper investigates some properties of solutions to Two Class Quasilinear Elliptic Systems. The results include the existence of pos-itive weak solutions, the existence and structure of entire large positive radial solutions, etc.In Chapter1, the existence of positive weak solutions of the quasi-linear elliptic systems is obtained.In Chapter2, we consider a class of quasilinear elliptic systems and in the whole space. Using the method of sup-solutions and sub-solutions, iteration and comparison principle, we establish the existence of entire large positive radial solutions of the quasilinear elliptic systems.