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Original Articles

Weak L2-solutions to a Stokes-like system of fourth order in bounded Lipschitz domains

Pages 215-226 | Received 03 Feb 2009, Accepted 21 Feb 2010, Published online: 24 Jun 2010

References

  • Nečas , J . 1967 . Les Méthodes Directes en Théorìe des Équations Elliptiques , Prague : Academia .
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  • Bogovskii , ME . 1980 . Solutions of some problems of vector analysis, associated with the operators div and grad (Russian) . Trudy sem. S.L. Soboleva, 1 Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk , 149 : 5 – 40 .
  • Th. Riedl, private communication, 2008.
  • Simader , CG . 2006 . The weak L q -Cosserat spectrum for the first boundary value problem in the half-space. Application to Stokes' and Lamé's system . Analysis (Munich) , 26 : 9 – 84 .
  • Weyers , St . 2006 . L q -solutions to the Cosserat spectrum in bounded and exterior domains . Analysis (Munich) , 26 : 85 – 167 .
  • Simader , CG . 1992 . Mean value formulas, Weyl's lemma and Liouville theorems for Δ2 and Stokes' system . Results Math. , 22 : 761 – 780 .

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