Existence and nonexistence in the liquid drop model

Rupert L. Frank, Phan Thành Nam
2021 Calculus of Variations and Partial Differential Equations  
AbstractWe 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.
doi:10.1007/s00526-021-02072-9 fatcat:cra5mtrgffhq3khu3wsmb4il2q