Geodesic
A priori estimates for quasilinear parabolic systems with quadratic nonlinearities in the gradient
Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 4, pp. 639-652.

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We derive local a priori estimates of the Hölder norm of solutions to quasilinear elliptic systems with quadratic nonlinearities in the gradient. We assume higher integrability of solutions and smallness of its BMO norm but the Hölder norm is estimated in terms of BMO norm of the solution under consideration, only.
Classification : 35J60
Keywords: quasilinear parabolic systems; quadratic nonlinearities; regularity; Morrey; VMO spaces 
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     title = {A priori estimates for quasilinear parabolic systems with quadratic nonlinearities in the gradient},
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Arkhipova, Arina A.; Stará, Jana. A priori estimates for quasilinear parabolic systems with quadratic nonlinearities in the gradient. Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 4, pp. 639-652. http://geodesic.mathdoc.fr/item/CMUC_2010__51_4_a8/