W. Ziemer

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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 $Ω \subset R^{n}$ , we consider the variational problem of minimizing the $L^{1}$ -norm of the gradient on $Ω$ of a function $u$ with prescribed continuous bounda…