Decompositions of the Sobolev-Clifford modules and nonlinear variational problems

DOI10.1134/S0081543808010057zbMath1233.46003OpenAlexW2005053427MaRDI QIDQ666545

I. A. Borovikov, Yulii A. Dubinskii

Publication date: 8 March 2012

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543808010057

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods applied to PDEs (35A15) Existence theories for free problems in two or more independent variables (49J10) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (3)

A Hardy-type inequality and its applications ⋮ Bilateral scales of Hardy inequalities and their applications to some problems of mathematical physics ⋮ Irrotational and solenoidal fields in the spaces \(W_p^m\)

Cites Work

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• Decomposition of the spaces \(W_p^m\) and \(D_p^{m,k}\) into sums of solenoidal and potential subspaces and factorization inequalities
• Orthogonal decompositions of Sobolev spaces in Clifford analysis
• Non-linear analytic and coanalytic problems ($ L_p$-theory, Clifford analysis, examples)
• Variational problems in Clifford analysis

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