Generalized The Baouendi-grushin Operator Of The Boundary Value Problems And Hardy Type Inequality

In this paper, we will discuss some problems on generalized Baouendi-Grushin operators La and p- subelliptic operators.In chapter 1, we establish an integral doubling inequality for p-generalized Baouendi-Grushin equations and nonexistence for semilinear subelliptic equations.In chapter 2, some Hardy type inequalities for the generalized Baouendi-Grushin operators are obtained and the best constant of La is given.In chapter 3, we constitute the barriers related to La and get the entire positive solution of the Yamabe type equation on La when a =1.Chapter 4 is devoted to the uniqueness proof of p-subelliptic operator.