Existence Of Bounded Positive Entire Solutions For Quasilinear Elliptic Equations (Systems)

In this paper, our main purpose is to establish the existence of entire bounded positive solutions of second order quasilinear elliptic equations (systems) with super and sub solution method. The main contents are as follows:In chapter 1, we listed some related results and main methods which are the based of this paper. We proved that there exists infinitely many positive solutions which are bounded from below by a positive constant for quasilinear elliptic equations In chapter 2; still more, we obtain a sufficient and necessary condition for the existence; we also give two examples there.In chapter 3, we study the existence of positive solution for quasilinear elliptic systems, and then obtain an application theorem for a special case system.The above results are the improvement and generalization of the corresponding partly results had been given by [5,10,43].