Hostname: page-component-5d59c44645-jqctd Total loading time: 0 Render date: 2024-02-26T13:32:24.327Z Has data issue: false hasContentIssue false

The existence of equilibria of many-particle systems

Published online by Cambridge University Press:  26 May 2009

R. Stańczy
Instytut Matematyczny, Uniwersytet Wrocławski, pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland (


In this paper we obtain the existence of a radial solution for some elliptic non-local problem with constraints. The problem arises from some mean field equation which models, among other things, a system of self-gravitating particles when one looks for its stationary solutions. We include the cases of Maxwell—Boltzmann, Fermi—Dirac and polytropic statistics.

Research Article
Copyright © Royal Society of Edinburgh 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)