Geodesic
Decompositions of the Sobolev--Clifford Modules and Nonlinear Variational Problems
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function theory and nonlinear partial differential equations, Tome 260 (2008), pp. 57-74

Voir la notice de l'article provenant de la source Math-Net.Ru

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{TM_2008_260_a4,
     author = {I. A. Borovikov and Yu. A. Dubinskii},
     title = {Decompositions of the {Sobolev--Clifford} {Modules} and {Nonlinear} {Variational} {Problems}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {57--74},
     publisher = {mathdoc},
     volume = {260},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2008_260_a4/}
}
TY  - JOUR
AU  - I. A. Borovikov
AU  - Yu. A. Dubinskii
TI  - Decompositions of the Sobolev--Clifford Modules and Nonlinear Variational Problems
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2008
SP  - 57
EP  - 74
VL  - 260
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2008_260_a4/
LA  - ru
ID  - TM_2008_260_a4
ER  - 
%0 Journal Article
%A I. A. Borovikov
%A Yu. A. Dubinskii
%T Decompositions of the Sobolev--Clifford Modules and Nonlinear Variational Problems
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2008
%P 57-74
%V 260
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2008_260_a4/
%G ru
%F TM_2008_260_a4
I. A. Borovikov; Yu. A. Dubinskii. Decompositions of the Sobolev--Clifford Modules and Nonlinear Variational Problems. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function theory and nonlinear partial differential equations, Tome 260 (2008), pp. 57-74. http://geodesic.mathdoc.fr/item/TM_2008_260_a4/