Subellipticity of the $\bar\partial$-Neumann problem on a weakly   $q$-pseudoconvex/concave domain
  For a domain $D$ of $\mathbb{C}^n$ which is weakly $q$-pseudoconvex or $q$-pseudoconcave we give a sufficient condition for subelliptic estimates for the $\bar{\partial}$-Neumann problem. The paper extends to domains which are not necessarily pseudoconvex, the results and the techniques of Catlin.   MSC: 32D10, 32U05, 32V25 
Tran Vu Khanh and Giuseppe Zampieri