Generating Singularities of Solutions of Quasilinear Elliptic Equations

Let 1-p-N. If the right-hand side of a quasilinear p-Laplace elliptic equation has singularity of order g g p, 1qNrpX . at a point x0gV, then each supersolution which is essentially bounded from below on a neighborhood of x0 , has singularity of order gpyy p1 at x0. Moreover, we obtain an explicit and sharp lower bound of the supersolution in the neighborhood of x0.