%0 Journal Article %T The Lp Minkowski problem for polytopes for 0 < p < 1 %A Guangxian Zhu %J Mathematics %D 2014 %I arXiv %X Necessary and sufficient conditions are given for the existence of solutions to the discrete Lp Minkowski problem for the critical case where 0 < p < 1. %U http://arxiv.org/abs/1406.7503v2