On a local characterization of pseudoconvex domains Nikolai NikolovPeter PflugPacal ThomasWlodzimierz Zwonek 32F17pseudoconvex domaintaut domainlocally weakly linearly convex domain Pseudoconvexity of a domain in $\mathbb{C}^{n}$ is described in terms of the existence of a locally defined plurisubharmonic/holomorphic function near any boundary point that is unbounded at the point. Indiana University Mathematics Journal 2009 text pdf 10.1512/iumj.2009.58.3751 10.1512/iumj.2009.58.3751 en Indiana Univ. Math. J. 58 (2009) 2661 - 2672 state-of-the-art mathematics http://iumj.org/access/