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Decompositions of the Sobolev-Clifford modules and nonlinear variational problems

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Abstract

We establish a general direct decomposition of modules and then, using this decomposition, prove representations of the Sobolev-Clifford modules as the sums of submodules of monogenic and comonogenic functions. We also show how the decompositions obtained can be applied to solving Stokes-type nonlinear variational problems.

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Authors and Affiliations

  1. Moscow Power Engineering Institute (Technical University), ul. Krasnokazarmennaya 14, Moscow, 111250, Russia

    I. A. Borovikov & Yu. A. Dubinskii

Authors
  1. I. A. Borovikov
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  2. Yu. A. Dubinskii
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Additional information

Original Russian Text © I. A. Borovikov, Yu. A. Dubinskii, 2008, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Vol. 260, pp. 57–74.

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Borovikov, I.A., Dubinskii, Y.A. Decompositions of the Sobolev-Clifford modules and nonlinear variational problems. Proc. Steklov Inst. Math. 260, 50–67 (2008). https://doi.org/10.1134/S0081543808010057

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  • DOI: https://doi.org/10.1134/S0081543808010057

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