Classification of minimal mass blow-up solutions for an L2 critical inhomogeneous NLS

We establish the classification of minimal mass blow-up solutions of the L2 critical inhomogeneous nonlinear Schrödinger equation i?tu+?u+|x|?b|u|4?2bNu=0, thereby extending the celebrated result of Merle (Duke Math J 69(2):427–454, 1993) from the classic case b=0 to the case 0<b<min{2,N}, in any dimension N?1.