Arina A. Arkhipova, Jana StarĂ¡
A priori estimates for quasilinear parabolic systems with quadratic nonlinearities in the gradient

Comment.Math.Univ.Carolin. 51,4 (2010) 639-652.

Abstract:We derive local a priori estimates of the H\"older 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 H\"older norm is estimated in terms of BMO norm of the solution under consideration, only.

Keywords: quasilinear parabolic systems, quadratic nonlinearities, regularity, Morrey, VMO spaces
AMS Subject Classification: 35J60

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