Existence and nonexistence in the liquid drop model

Frank, Rupert L. und Phan, Thanh Nam (2021): Existence and nonexistence in the liquid drop model. In: Calculus of Variations and Partial Differential Equations, Bd. 60, Nr. 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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik > Analysis, Mathematische Physik und Numerik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0944-2669
• Sprache: Englisch