Ground states of self-gravitating elastic bodies
type: Item
instance of: scholarly article
title: Ground states of self-gravitating elastic bodies
zbMATH Open document ID: 1329.35303
author: Simone Calogero
author: Tommaso Leonori
published in: Calculus of Variations and Partial Differential Equations
publication date: 2015-09-11T00:00:00Z
full work available at URL: https://arxiv.org/abs/1208.1792
review text: The known astrophysical problem about the existence of static self-gravitating elastic bodies beginning with the end of XIX century was investigated by the methods of bifurcation theory. The authors of the reviewed article consider elastic bodies as corresponding to deformations of the reference state without any a priory size restriction and they are obtained as minimizers of the energy functional of the elastic body.
Mathematics Subject Classification ID: 35Q74
Mathematics Subject Classification ID: 74G65
Mathematics Subject Classification ID: 74B10
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 6481191
zbMATH Keywords: self-gravitating elastic bodies
zbMATH Keywords: nonlinear elasticity theory
zbMATH Keywords: existence of static solutions
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
OpenAlex ID: W2025342404
arXiv ID: 1208.1792
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DOI: 10.1007/S00526-014-0809-7
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description: scientific article