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On solutions of the mixed Dirichlet–Navier problem for the polyharmonic equation in exterior domains

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Abstract

We study the unique solvability of the mixed Dirichlet–Navier problem for the polyharmonic equation in exterior domains under the assumption that a generalized solution of this problem has a bounded Dirichlet integral with weight |x|a. Depending on the value of the parameter a, we prove a uniqueness theorem or present exact formulas for the dimension of the solution space of the mixed Dirichlet–Navier problem in the exterior of a compact set.

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Authors and Affiliations

  1. Moscow Aviation Institute (National Research University “MAI”), Moscow, Russia

    O. A. Matevosyan

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  1. O. A. Matevosyan
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Correspondence to O. A. Matevosyan.

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Matevosyan, O.A. On solutions of the mixed Dirichlet–Navier problem for the polyharmonic equation in exterior domains. Russ. J. Math. Phys. 23, 135–138 (2016). https://doi.org/10.1134/S106192081601012X

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  • DOI: https://doi.org/10.1134/S106192081601012X

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