Geodesic
A note on regular points for solutions of nonlinear elliptic systems
Archivum mathematicum, Tome 32 (1996) no. 2, pp. 105-116.

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It is shown in this paper that gradient of vector valued function $ u(x), $ solution of a nonlinear elliptic system, cannot be too close to a straight line without $ u(x) $ being regular.
Classification : 35B65, 35J45, 35J60
Keywords: nonlinear elliptic systems; regularity 
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     author = {Dan\v{e}\v{c}ek, Josef and Viszus, Eugen},
     title = {A note on regular points for solutions of nonlinear elliptic systems},
     journal = {Archivum mathematicum},
     pages = {105--116},
     publisher = {mathdoc},
     volume = {32},
     number = {2},
     year = {1996},
     mrnumber = {1407342},
     zbl = {0903.35010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1996__32_2_a2/}
}
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Daněček, Josef; Viszus, Eugen. A note on regular points for solutions of nonlinear elliptic systems. Archivum mathematicum, Tome 32 (1996) no. 2, pp. 105-116. http://geodesic.mathdoc.fr/item/ARM_1996__32_2_a2/