Existence and nonexistence in the liquid drop model

Published 6 Jan 2021 in math.AP, math-ph, and math.MP | (2101.02163v1)

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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