Logo Logo
Hilfe
Hilfe
Switch Language to English

Frank, Rupert L. ORCID logoORCID: https://orcid.org/0000-0001-7973-4688 und Lieb, Elliott H. (2018): A "Liquid-Solid" Phase Transition in a Simple Model for Swarming, Based on the "No Flat-Spots" Theorem for Subharmonic Functions. In: Indiana University Mathematics Journal, Bd. 67, Nr. 4: S. 1547-1569

Volltext auf 'Open Access LMU' nicht verfügbar.

Abstract

We consider a family of non-local shape optimization problems, which are motivated by a simple model for swarming and other self-assembly/aggregation models, and prove the existence of different phases for several of them. A technical key ingredient, which we establish, is that a strictly subharmonic function cannot be constant on a set of positive measure.

Dokument bearbeiten Dokument bearbeiten