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arXiv · 2605.11834

Sharp upper bound for a branched transport problem coming from Ginzburg-Landau models

Alessandro Cosenza·Michael Goldman·Felix Otto
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Abstract

We consider a branched transport type problem with weakly imposed boundary conditions, which can be seen as a blown-up version of a reduced model for type-I superconductors in the regime of vanishing external magnetic field. We prove that if the irrigated measure is (locally) Ahlfors regular then it is of dimension at most $8/5$ in agreement with the conjecture by Conti, the third author and Serfaty.

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Alessandro Cosenza, Michael Goldman, Felix Otto. 2026-05-12. Sharp upper bound for a branched transport problem coming from Ginzburg-Landau models. https://arxiv.org/abs/2605.11834

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