Proceedings

Inserted: 4 sep 2024
Last Updated: 4 sep 2024

Year: 2024

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

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.