Existence and nonexistence in the liquid drop model

Frank, Rupert L. and Phan, Thanh Nam (2021): Existence and nonexistence in the liquid drop model. In: Calculus of Variations and Partial Differential Equations, Vol. 60, No. 6, 223

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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics > Analysis, Mathematical Physics and Numerics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0944-2669
• Language: English