On the Choquet charge of delta-superharmonic functions

Let u greater than or equal to v be positive superharmonic functions in a g eneral potential-theoretic setting, where these functions have a Choquet-ty pe integral representation by minimal such functions with Choquet charges ( i.e. representing measures) mu and nu, respectively. We show that mu less t han or equal to nu on the contact set {u - v = 0} of the delta-superharmoni c function u - v, if this set is properly interpreted as the set of those m inimal superharmonic functions s which satisfy lim sup(Ts) v/u = 1 for the co-fine neighborhood filter T-s associated with s. In the setting of classi cal potential theory for Laplace's equation this result improves on results obtained by Fuglede in 1992.