3 papers
math.CA2001
The coarea formula for Sobolev mappings
Jan Maly, David Swanson, William P. Ziemer
We extend Federer's coarea formula to mappings belonging to the Sobolev class , , , and more generally, to mappings with gradient in the Lor…
math.AP1998
Area Minimizing Sets Subject to a Volume Constraint in a Convex Set
Edward Stredulinsky, William P. Ziemer
In this paper we consider the problem of minimizing area subject to a volume constraint in a given convex set.
math.AP1998
The Obstacle Problem for Functions of Least Gradient
William P. Ziemer, Kevin Zumbrun
For a given domain , we consider the variational problem of minimizing the -norm of the gradient on of a function with prescribed continuous bounda…