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Ground states of self-gravitating elastic bodies

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dc.contributor.authorCalogero, Simone
dc.contributor.authorLeonori, Tommaso
dc.contributor.orcidhttps://orcid.org/0000-0003-3802-3665
dc.contributor.orcidhttps://orcid.org/0000-0002-0848-4463
dc.date.accessioned2024-11-21T07:56:09Z
dc.date.available2024-11-21T07:56:09Z
dc.date.issued2014-09
dc.description.abstractThe existence of static, self-gravitating elastic bodies in the non-linear theory of elasticity is established. Equilibrium configurations of self-gravitating elastic bodies close to the reference configuration have been constructed in Beig and Schmidt (Proc R Soc Lond, 109–115, 2003) using the implicit function theorem. In contrast, the steady states considered in this article correspond to deformations of the relaxed state with no size restriction and are obtained as minimizers of the energy functional of the elastic body.en
dc.description.versionversión final
dc.identifier.citationCalogero, S., Leonori, T. Ground states of self-gravitating elastic bodies. Calc. Var. 54, 881–899 (2015). https://doi.org/10.1007/s00526-014-0809-7
dc.identifier.doihttps://doi.org/10.1007/s00526-014-0809-7
dc.identifier.issn1432-0835; e- ISSN:0944-2669
dc.identifier.urihttps://hdl.handle.net/20.500.14468/24458
dc.journal.titleCalculus of Variations and Partial Differential Equations
dc.journal.volume54
dc.language.isoen
dc.page.final899
dc.page.initial881
dc.publisherSpringer Nature
dc.relation.centerFacultades y escuelas::Facultad de Ciencias
dc.relation.departmentMatemáticas Fundamentales
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject12 Matemáticas
dc.titleGround states of self-gravitating elastic bodieses
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
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