Geodesic
Examples of discontinuous, divergence-free solutions to elliptic variational problems
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 3, pp. 511-517

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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}.
Classification : 35B65, 35C05, 35D10, 35J15, 35J45, 35Q30
Keywords: divergence-free solutions; elliptic systems; systems of Stokes-type; regularity 
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     title = {Examples of discontinuous, divergence-free solutions to elliptic variational problems},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {511--517},
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     zbl = {0837.35041},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1995__36_3_a12/}
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Hao, Wenge; Leonardi, Salvatore; Steinhauer, Mark. Examples of discontinuous, divergence-free solutions to elliptic variational problems. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 3, pp. 511-517. http://geodesic.mathdoc.fr/item/CMUC_1995__36_3_a12/