An isoperimetric inequality for diffused surfaces
  For general varifolds in Euclidean space, we prove an isoperimetric inequality, adapt the basic theory of generalised weakly differentiable functions, and obtain several Sobolev type inequalities. We thereby intend to facilitate the use of varifold theory in the study of diffused surfaces. 
Ulrich Menne and Christian Scharrer
math.DG math.AP