Journal of Mathematical Sciences

, Volume 231, Issue 3, pp 473–479 | Cite as

Stability of One-Phase States in Variational Problem of the Theory of Elasticity in Two-Phase Media. The Multi-Dimensional Case


We study the phenomenon of loss of stability of one-phase critical points of the energy functional of a two-phase elastic medium under perturbations of the temperature.


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  1. 1.
    V. G. Osmolovskii, “Mathematical aspects of the theory of phase transitions” [in Russian], Algebra Anal. 29, No. 5, 111-178 (2017).Google Scholar

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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.St. Petersburg State UniversitySt. PetersburgRussia

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