De Cave, Linda MariaD'Onofrio, LuigiSchiattarella, Roberta2016-07-192016-07-192016-07-19201610.1186/s13661-016-0607-6https://infoscience.epfl.ch/handle/20.500.14299/127687WOS:000376457500001Given a planar domain Omega, we study the Dirichlet problem {-divA(x, del v) = f in Omega, v = 0 on partial derivative Omega, where the higher-order term is a quasilinear elliptic operator, and f belongs to the Zygmund space L(log L)delta(log log log L)(beta/2) (Omega) with beta >= 0 and delta >= 1/2. We prove that the gradient of the variational solution v is an element of W-0(1,2) (Omega) belongs to the space L-2(log L)(2 delta-1)(log log log L)(beta)(Omega).gradient regularityquasilinear elliptic equationsZygmund spacestext::journal::journal article::research article