Abstract
Separation and comparison theorems of Sturm's type are given for differential inequalities involving singular elliptic operators of the form and a related class of degenerate elliptic operators. The region considered is an open connected subset of the half-space y > 0 in E m+l with an open subset of the hyperplane y< = 0 as part of the boundary. A notable feature is that data need not be prescribed on y = 0 in contrast to the regular case where data is prescribed on the entire boundary. The results are obtained by the use of Green's identity and a new Picone-type identity.
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