Geodesic
Decompositions of the Sobolev--Clifford Modules and Nonlinear Variational Problems
Informatics and Automation, Function theory and nonlinear partial differential equations, Tome 260 (2008), pp. 57-74

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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. 
@article{TRSPY_2008_260_a4,
     author = {I. A. Borovikov and Yu. A. Dubinskii},
     title = {Decompositions of the {Sobolev--Clifford} {Modules} and {Nonlinear} {Variational} {Problems}},
     journal = {Informatics and Automation},
     pages = {57--74},
     publisher = {mathdoc},
     volume = {260},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2008_260_a4/}
}
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I. A. Borovikov; Yu. A. Dubinskii. Decompositions of the Sobolev--Clifford Modules and Nonlinear Variational Problems. Informatics and Automation, Function theory and nonlinear partial differential equations, Tome 260 (2008), pp. 57-74. http://geodesic.mathdoc.fr/item/TRSPY_2008_260_a4/