Abstract:
We discuss the problem of global W12-regularity for the strew tensor of a perfect elastic-plastic body being in equilibrium. In particular, we construct an example, showing that the method proposed by the author to establish local W12-regularity, in general does not work in investigations of regularity up to the boundary if the given body is non-convex. Bibl. 3 titles.
Citation:
G. A. Seregin, “Remarks on regularity up to the boundary for solutions to variational problems in plasticity theory”, Boundary-value problems of mathematical physics and related problems of function theory. Part 27, Zap. Nauchn. Sem. POMI, 233, POMI, St. Petersburg, 1996, 227–232; J. Math. Sci. (New York), 93:5 (1999), 779–783
\Bibitem{Ser96}
\by G.~A.~Seregin
\paper Remarks on regularity up to the boundary for solutions to variational problems in plasticity theory
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~27
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 233
\pages 227--232
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3670}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1699125}
\zmath{https://zbmath.org/?q=an:0954.74508}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 93
\issue 5
\pages 779--783
\crossref{https://doi.org/10.1007/BF02366854}
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https://www.mathnet.ru/eng/znsl3670
https://www.mathnet.ru/eng/znsl/v233/p227
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