Ann.Inst.Fourier Grenoble

Abstract

In this paper, we first show the uniqueness of the solution u of > (set of bounded Radon measures) such that the q-capacity of the support of is zero for some . The equation is taken in the usual sense of distribution but u is in an appropiate T-set. The proof relies on a general comparison principle (see Theorem 1). In more general context, we give pointwise estimates of the solution u⩾0These estimates. inspired by work of Kilpelaïnen-Màly [KM]. lead to some new estimates of the behavior of ,near the support of ,