Picone-type inequalities for some degenerate quasilinear elliptic operators are established and Sturmian comparison theorems are derived as applications extending previous work by the authors [J. Inequal. Appl. 6, No. 4, 387–404 (2001; Zbl 1088.35024)]. The equations considered are of the form and , where
The functions , , are defined and positive in some bounded piecewise smooth domain , and . Moreover, , . Oscillation results are also obtained by using Sturmian comparison theorems.