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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 260, Pages 57–74 (Mi tm586)  
This article is cited in 3 scientific papers (total in 3 papers)

Decompositions of the Sobolev–Clifford Modules and Nonlinear Variational Problems

I. A. Borovikov, Yu. A. Dubinskii

Moscow Power Engineering Institute (Technical University)
Full-text PDF (259 kB) Citations (3)
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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.
Received in June 2007
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 260, Pages 50–67
DOI: https://doi.org/10.1134/S0081543808010057
Bibliographic databases:
UDC: 517.53+517.91
Language: Russian
Citation: I. A. Borovikov, Yu. A. Dubinskii, “Decompositions of the Sobolev–Clifford Modules and Nonlinear Variational Problems”, Function theory and nonlinear partial differential equations, Collected papers. Dedicated to Stanislav Ivanovich Pohozaev on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 260, MAIK Nauka/Interperiodica, Moscow, 2008, 57–74; Proc. Steklov Inst. Math., 260 (2008), 50–67
Citation in format AMSBIB
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\paper Decompositions of the Sobolev--Clifford Modules and Nonlinear Variational Problems
\inbook Function theory and nonlinear partial differential equations
\bookinfo Collected papers. Dedicated to Stanislav Ivanovich Pohozaev on the occasion of his 70th birthday
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\vol 260
\pages 57--74
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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