Allard-type regularity theory for area minimizing currents at boundaries with arbitrary multiplicity
Analysis of PDEs
2024-09-04 v1 Differential Geometry
Abstract
This is an announcement of a series of upcoming works on boundary regularity for area minimizing currents, one of which is in collaboration with Reinaldo Resende. The setting we consider is that of an area minimizing current with a smooth boundary taken with arbitrary multiplicity. The main result is a generalization of Allard's boundary regularity theorem from which we derive important structural consequences.
Keywords
Cite
@article{arxiv.2409.00820,
title = {Allard-type regularity theory for area minimizing currents at boundaries with arbitrary multiplicity},
author = {Ian Fleschler},
journal= {arXiv preprint arXiv:2409.00820},
year = {2024}
}
Comments
To appear in the proceedings of the conference "Geometric Measure Theory and Applications", held in Cortona, 2024. The proceedings will be published in the Springer INdAM Series