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arXiv · 2608.09000

An Improved Nonexistence Bound for the Liquid Drop Model

Marvin R. Schulz
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Abstract

For Gamow's liquid drop model, we improve the nonexistence bound of Frank-Killip-Nam from 8 to 7.5. The key additional input is a geometric perimeter inequality arising from the capillarity problem. This yields a quantitative gain in the averaged slicing argument and shows that the variational problem admits no minimizer for $A\geq 7.5$.

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Marvin R. Schulz. 2026-08-10. An Improved Nonexistence Bound for the Liquid Drop Model. https://arxiv.org/abs/2608.09000

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