Calculus of Variations and Geometric Measure Theory

A. Halavati - L. Spolaor

Carleman estimates for stationary $Q$-valued maps: a variational approach

created by halavati on 19 Aug 2025
modified on 08 Jul 2026

[BibTeX]

Submitted Paper

Inserted: 19 aug 2025
Last Updated: 8 jul 2026

Year: 2025

Abstract:

We prove a Carleman-type estimate for Dirichlet-stationary multivalued functions and apply it to give a different proof of the optimal dimension of the singular set of Dir-minimizing multivalued functions, originally due to Almgren and to De Lellis–Spadaro.


Download: