Rotationally symmetric p-harmonic flows from to : Local well-posedness and finite time blow-up

We study the p-harmonic flow from the unit disk D 2 to the unit sphere S 2 under rotational symmetry. We show that the Dirichlet problem with constant boundary condition is locally well-posed in the class of classical solutions and we also give a sufficient criterion, in terms of the boundary condition, for the derivative of the solutions to blow-up in finite time.