WEIGHTED SOBOLEV-POINCARE INEQUALITIES AND POINTWISE ESTIMATES FOR A CLASS OF DEGENERATE ELLIPTIC-EQUATIONS

In this paper we prove a Sobolev-Poincare inequality for a class of function spaces associated with some degenerate elliptic equations. These estimates provide us with the basic tool to prove an invariant Harnack inequality for weak positive solutions. In addition, Holder regularity of the weak solutions follows in a standard way.