Abstract
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.
Funder
Directorate for Mathematical and Physical Sciences
DFG
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
Reference26 articles.
1. Alberti, G., Choksi, R., Otto, F.: Uniform energy distribution for an isoperimetric problem with long-range interactions. J. Am. Math. Soc. 22, 596–605 (2009)
2. Bonacini, M., Cristoferi, R.: Local and global minimality results for a nonlocal isoperimetric problem on $${\mathbb{R}}^N$$. SIAM J. Math. Anal. 46(4), 2310–2349 (2014)
3. Cicalese, M., Spadaro, E.: Droplet minimizers of an isoperimetric problem with long-range interactions. Commun. Pure Appl. Math. 66, 1298–1333 (2013)
4. Choksi, R., Peletier, M.A.: Small volume fraction limit of the diblock copolymer problem: I. Sharp-interface functional. SIAM J. Math. Anal. 42, 1334–1370 (2010)
5. Choksi, R., Peletier, M.A.: Small volume-fraction limit of the diblock copolymer problem: II. Diffuse-interface functional. SIAM J. Math. Anal. 43(2), 739–763 (2011)
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献