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arXiv · 2607.11440

Absence of non-compactly supported minimisers for the Lieb-Oxford bound

Simone Di Marino·Rodrigue Lelotte
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Abstract

We prove the minimisers of the Lieb-Oxford bound (if any) for a fixed (and finite) number of particles $N \geq 1$ are necessarily compactly supported, extending a result proved by E. H. Lieb and S. Oxford in the one-particle case.

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Simone Di Marino, Rodrigue Lelotte. 2026-07-13. Absence of non-compactly supported minimisers for the Lieb-Oxford bound. https://arxiv.org/abs/2607.11440

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