(Al-Neelain University, 2015) Bakri Gad Elseed Rahmat Alla Mohammed
Abstract
This research is concerned with geometric measure theory. We use
measure theory (Lebesgue and Hausdorff measure) to generalize
differential geometry to enable us to deal with maps and surface that are
not necessarily smooth. We discuss the fundamental theorem of
geometric measure theory (Compactness theorem) that guarantees
solutions to a wide class of variational problems and soap bubble
clusters.
