Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 27, Tome 233 (1996), pp. 227-232
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G. A. Seregin. Remarks on regularity up to the boundary for solutions to variational problems in plasticity theory. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 27, Tome 233 (1996), pp. 227-232. http://geodesic.mathdoc.fr/item/ZNSL_1996_233_a13/
@article{ZNSL_1996_233_a13,
author = {G. A. Seregin},
title = {Remarks on regularity up to the boundary for solutions to variational problems in plasticity theory},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {227--232},
year = {1996},
volume = {233},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1996_233_a13/}
}
TY - JOUR
AU - G. A. Seregin
TI - Remarks on regularity up to the boundary for solutions to variational problems in plasticity theory
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1996
SP - 227
EP - 232
VL - 233
UR - http://geodesic.mathdoc.fr/item/ZNSL_1996_233_a13/
LA - en
ID - ZNSL_1996_233_a13
ER -
%0 Journal Article
%A G. A. Seregin
%T Remarks on regularity up to the boundary for solutions to variational problems in plasticity theory
%J Zapiski Nauchnykh Seminarov POMI
%D 1996
%P 227-232
%V 233
%U http://geodesic.mathdoc.fr/item/ZNSL_1996_233_a13/
%G en
%F ZNSL_1996_233_a13
We discuss the problem of global $W^1_2$-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 $W^1_2$-regularity, in general does not work in investigations of regularity up to the boundary if the given body is non-convex. Bibl. 3 titles.
