Ground states of self-gravitating elastic bodies
Artikel i vetenskaplig tidskrift, 2015

The 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.

Författare

Simone Calogero

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

T. Leonori

Universidad Carlos III de Madrid

Calculus of Variations and Partial Differential Equations

0944-2669 (ISSN) 1432-0835 (eISSN)

Vol. 54 881-899

Ämneskategorier

Matematik

DOI

10.1007/s00526-014-0809-7