Carleman estimates for stationary $Q$-valued maps: a variational approach
Analysis of PDEs
2025-08-21 v1
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.
Keywords
Cite
@article{arxiv.2508.14388,
title = {Carleman estimates for stationary $Q$-valued maps: a variational approach},
author = {Aria Halavati and Luca Spolaor},
journal= {arXiv preprint arXiv:2508.14388},
year = {2025}
}
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