On very weak solutions of a class of nonlinear elliptic systems
نویسندگان
چکیده
Abstract. In this paper we prove a regularity result for very weak solutions of equations of the type − divA(x, u,Du) = B(x, u,Du), where A, B grow in the gradient like tp−1 and B(x, u,Du) is not in divergence form. Namely we prove that a very weak solution u ∈ W 1,r of our equation belongs to W 1,p. We also prove global higher integrability for a very weak solution for the Dirichlet problem ( − divA(x, u,Du) = B(x, u,Du) in Ω, u− uo ∈ W 1,r(Ω,Rm).
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