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Existence and nonexistence in the liquid drop model (2101.02163v1)
Published 6 Jan 2021 in math.AP, math-ph, and 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.
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