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Existence and nonexistence in the liquid drop model
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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- Award ID(s):
- 1954995
- PAR ID:
- 10305262
- Publisher / Repository:
- Springer Science + Business Media
- Date Published:
- Journal Name:
- Calculus of Variations and Partial Differential Equations
- Volume:
- 60
- Issue:
- 6
- ISSN:
- 0944-2669
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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