Blow-up phenomena for a doubly degenerate equation with positive initial energy

In this paper, an initial boundary value problem related to the equation ut−div(|∇um|p−2∇um)=f(u) is studied. Under suitable conditions on ff, we establish a blow-up result for certain solution with positive initial energy. And blow-up time will be also considered by using the differential inequality technique. The upper estimate of the blow-up solution near the single blow-up point is also obtained.