Return to search

Minimizing the mass of the codimension-two skeleton of a convex, volume-one polyhedral region

In this paper we establish the existence and partial regularity of a (d-2)-dimensional edge-length minimizing polyhedron in [Special characters omitted.] . The minimizer is a generalized convex polytope of volume one which is the limit of a minimizing sequence of polytopes converging in the Hausdorff metric. We show that the (d-2)-dimensional edge-length ΞΆ d -2 is lower-semicontinuous under this sequential convergence. Here the edge set of the limit generalized polytope is a closed subset of the boundary whose complement in the boundary consists of countably many relatively open planar regions.

Identiferoai:union.ndltd.org:RICE/oai:scholarship.rice.edu:1911/70436
Date January 2011
ContributorsHardt, Robert M.
Source SetsRice University
LanguageEnglish
Detected LanguageEnglish
TypeThesis, Text
Format93 p., application/pdf

Page generated in 0.0016 seconds