The authors concern the oscillatory (and nonoscillatory) behaviour of quasilinear differential equations of the form
where and are positive constants, and are continuous functions on and is a parameter. For a fixed all solutions are either oscillatory or else nonoscillatory. Here, oscillation and nonoscillation criteria are given in terms of and . The results find applications to quasilinear degenerate elliptic partial differential equations of the type
with , , , , , , , and is a nonnegative function on .