Existence and nonexistence in the liquid drop model
Analysis of PDEs
2021-01-07 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2101.02163,
title = {Existence and nonexistence in the liquid drop model},
author = {Rupert L. Frank and Phan Thành Nam},
journal= {arXiv preprint arXiv:2101.02163},
year = {2021}
}
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12 pages