Existence and nonexistence in the liquid drop model

2021/01/06 by Frank, Rupert L., Nam, Phan Thành · 3 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2101.02163

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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• Existence and nonexistence results for a nonlocal isoperimetric problem on ℍⁿ
• Non-spherical minimizers in the generalized liquid drop model for Yukawa and truncated Coulomb potentials
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