Geodesic
Hölder regularity for nonhomogeneous elliptic systems with nonlinearity greater than two
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 4, pp. 817-841.

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Regularity results for elliptic systems of second order quasilinear PDEs with nonlinear growth of order $q>2$ are proved, extending results of [7] and [10]. In particular Hölder regularity of the solutions is obtained if the dimension $n$ is less than or equal to $q + 2$.
Classification : 35B65, 35J55, 35J65
Keywords: nonlinear elliptic systems; regularity up to the boundary 
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     author = {Idone, Giovanna},
     title = {H\"older regularity for nonhomogeneous elliptic systems with nonlinearity greater than two},
     journal = {Czechoslovak Mathematical Journal},
     pages = {817--841},
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     volume = {54},
     number = {4},
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     zbl = {1080.35031},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2004__54_4_a0/}
}
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Idone, Giovanna. Hölder regularity for nonhomogeneous elliptic systems with nonlinearity greater than two. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 4, pp. 817-841. http://geodesic.mathdoc.fr/item/CMJ_2004__54_4_a0/