Ranging From Two Types Of Degenerate Elliptic Equations Weak Solution Does Not Exist,

In this paper, we discuss some nonexistences related to p-sub-Laplacian inequalities on the Heisenberg group and p-degenerate sub-elliptic inequalities constructed by generalized Baouendi-Grushin vector fields.In chapter 1, we obtain some nonexistence results for weak solutions of p-sub-Laplacian inequalities and related parabolic inequalities on the Heisenberg group.In chapter 2, we establish polar coordinates related to generalized Baouendi-Grushin vector fields and some nonexistences for weak solutions of p-degenerate sub-elliptic inequalities.