We give an example of a bounded discontinuous divergence-free solution of a linear elliptic system with measurable bounded coefficients in $\Bbb R^3$ and a corresponding example for a {\bf Stokes-like system}.
@article{118780, author = {Wenge Hao and Salvatore Leonardi and Mark Steinhauer}, title = {Examples of discontinuous, divergence-free solutions to elliptic variational problems}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {36}, year = {1995}, pages = {511-517}, zbl = {0837.35041}, mrnumber = {1364492}, language = {en}, url = {http://dml.mathdoc.fr/item/118780} }
Hao, Wenge; Leonardi, Salvatore; Steinhauer, Mark. Examples of discontinuous, divergence-free solutions to elliptic variational problems. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) pp. 511-517. http://gdmltest.u-ga.fr/item/118780/
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