Calculus of Variations and Geometric Measure Theory

R. Monti - F. Serra Cassano

Surface measures in Carnot- Caratheodory spaces

created on 21 Dec 2002


Published Paper

Inserted: 21 dec 2002

Journal: Calc. Var. Partial Differential Equations
Volume: 13
Pages: 339-376
Year: 2001


In the framework of Carnot-Caratheodory spaces we study Minkowski content and perimeter, we prove some coarea formulas, and finally we prove some variational approximations of the perimeter.

Keywords: $\Gamma$-convergence, Hausdorff measures, Minkowski content, Carnot- Caratheodory spaces