Inserted: 15 mar 1998
Last Updated: 12 mar 2002
Journal: Ann. Scuola Norm. Sup. Cl. Sci.
We introduce the notion of generalized mean curvature of a measure. We then focus attention on functionals depending on curvatures, investigating their weak lower semicontinuity. A crucial role in this study is played by the dimension of the tangent spaces to a measure.