On the equality between the infimum obtained by solving various Plateau's problem
Classical Analysis and ODEs
2022-10-18 v3 Algebraic Topology
Functional Analysis
Abstract
In this paper we will compare the Plateau's problem with \v{C}ech and singular homological boundary conditions, we also compare these with the size minimizing problem for integral currents with a given boundary. Finally we get the agreement on the infimum values for these Plateau's problem.
Cite
@article{arxiv.1910.00231,
title = {On the equality between the infimum obtained by solving various Plateau's problem},
author = {Yangqin Fang and Vincent Feuvrier and Chunyan Liu},
journal= {arXiv preprint arXiv:1910.00231},
year = {2022}
}