Existence And Asymptotic Property Of Boundary Blow-up Solutions For Quasilinear Elliptic Equations (Systems)

In this paper, our main purpose is to establish the existence of boundary blow-up 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.In chapter 2, we consider the existence and asymptotic property of boundary blow-up solutions for a class of quasilinear elliptic systems with critical case and subcritical case. We also consider some related results which can be studied with the same techniques.In chapter 3, we study the existence of blow-up boundary solutions for a class of sublinear elliptic equations.