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

Aria Halavati; Luca Spolaor

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arXiv · 2508.14388

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

Aria Halavati·Luca Spolaor

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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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Aria Halavati, Luca Spolaor. 2025-08-20. Carleman estimates for stationary $Q$-valued maps: a variational approach. https://arxiv.org/abs/2508.14388

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