Abstract:
This talk concerns Dirichlet problems for semi-linear degenerate equations. Degenerate elliptic operators
are motivated by the structure of the corresponding singular manifolds. Here we will first discuss the
definitions of the degenerate elliptic operators, and then the weighted Sobolev spaces. Some inequalities
will also be introduced, which are useful for the proof of the existence of solutionsfor the corresponding
semi-linear degenerate equations
