Mean curvature properties for p-Laplace phase transitions

This paper deals with phase transitions corresponding to an energy which is the sum of a kinetic part of p-Laplacian type and a double well potential h(0) with suitable growth conditions. We prove that level sets of solutions of Delta(p)u=h(0)'(u) possessing a certain decay property satisfy a mean curvature equation in a suitable weak viscosity sense. From this, we show that, if the above level sets approach uniformly a hypersurface, the latter has zero mean curvature.