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 21 Sep 2026

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Submitted Paper

Inserted: 19 aug 2025
Last Updated: 21 sep 2026

Year: 2025

ArXiv: 2508.14388 PDF

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.


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