The Positive Entire Solution Of Nonlinear Elliptic Partial Differential Equations

In the past few decades, many people at home and abroad are interested in two order nonlinear elliptic partial differential equations, because they were always used in both physics and chemistry. The form as follows is typical:The existence of the positive entire solution and the asymptotic of solution at infinite have been studied very well. In this paper, we make a study of two special forms of this equation .The existence of the positive entire solution for the quasilinear elliptic equation in the form ofis discussed in chapter 2. The existence and unique of the minimal positive entire solution for the semilinear elliptic equation in the form ofis discussed in chapter 3. The last chapter concludes and outlines issues for further research.