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Non-linear analytic and coanalytic problems ($L_p$-theory, Clifford analysis, examples)
Sbornik. Mathematics, Tome 191 (2000) no. 1, pp. 61-95 Cet article a éte moissonné depuis la source Math-Net.Ru

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Two kinds of new mathematical model of variational type are put forward: non-linear analytic and coanalytic problems. The formulation of these non-linear boundary-value problems is based on a decomposition of the complete scale of Sobolev spaces into the “orthogonal” sum of analytic and coanalytic subspaces. A similar decomposition is considered in the framework of Clifford analysis. Explicit examples are presented. 
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Yu. A. Dubinskii; A. S. Osipenko. Non-linear analytic and coanalytic problems ($L_p$-theory, Clifford analysis, examples). Sbornik. Mathematics, Tome 191 (2000) no. 1, pp. 61-95. http://geodesic.mathdoc.fr/item/SM_2000_191_1_a2/

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