We prove $H^{1}_{\operatorname{loc}}$-regularity for the stresses in the Prandtl-Reuss-law. The proof runs via uniform estimates for the Norton-Hoff-approximation.
@article{118833, author = {Alain Bensoussan and Jens Frehse}, title = {Asymptotic behaviour of the time dependent Norton-Hoff law in plasticity theory and $H^{1}$ regularity}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {37}, year = {1996}, pages = {285-304}, zbl = {0851.35079}, mrnumber = {1399003}, language = {en}, url = {http://dml.mathdoc.fr/item/118833} }
Bensoussan, Alain; Frehse, Jens. Asymptotic behaviour of the time dependent Norton-Hoff law in plasticity theory and $H^{1}$ regularity. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) pp. 285-304. http://gdmltest.u-ga.fr/item/118833/
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