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On the Mixed Neumann–Robin Problem for the Elasticity System in Exterior Domains

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Abstract

We study the properties of generalized solutions of the mixed Neumann–Robin problem for the linear system of elasticity theory in the exterior of a compact set and the asymptotic behavior of solutions of this problem at infinity under the assumption that the energy integral with weight |x|a is finite for such solutions. We use the variation principle and, depending on the value of the parameter a, we obtain uniqueness (nonuniqueness) theorems of the problem or present exact formulas for the dimension of the space of solutions.

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Authors and Affiliations

  1. Moscow Aviation Institute (National Research University), Volokolamskoe shosse 4, 125993, Moscow, Russia

    H. A. Matevossian

  2. Federal Research Center “Computer Science and Control,”, Russian Academy of Sciences, Vavilova str., 40, 119333, Moscow, Russia

    H. A. Matevossian

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  1. H. A. Matevossian
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Correspondence to H. A. Matevossian.

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Matevossian, H.A. On the Mixed Neumann–Robin Problem for the Elasticity System in Exterior Domains. Russ. J. Math. Phys. 27, 272–276 (2020). https://doi.org/10.1134/S1061920820020144

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  • DOI: https://doi.org/10.1134/S1061920820020144

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