%0 Journal Article %T Invertible harmonic mappings beyond Kneser theorem and quasiconformal harmonic mappings %A David Kalaj %J Mathematics %D 2010 %I arXiv %X In this paper we extend Rado-Choquet-Kneser theorem for the mappings with Lipschitz boundary data and essentially positive Jacobian at the boundary, without restriction on the convexity of image domain. It is an extension of a recent result of Alessandrini and Nesi \cite{ale}. Some applications for the family of quasiconformal harmonic mappings between Jordan domains are given. %U http://arxiv.org/abs/1003.2740v2