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arXiv · 2101.02163

Existence and nonexistence in the liquid drop model

Rupert L. Frank·Phan Thành Nam
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Abstract

We revisit the liquid drop model with a general Riesz potential. Our new result is the existence of minimizers for the conjectured optimal range of parameters. We also prove a conditional uniqueness of minimizers and a nonexistence result for heavy nuclei.

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Rupert L. Frank, Phan Thành Nam. 2021-01-06. Existence and nonexistence in the liquid drop model. https://arxiv.org/abs/2101.02163

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