Saikat Mazumdar (University of British Columbia)

Title: Blow-up analysis for a critical elliptic equation with vanishing singularity
Abstract: In this talk, we will examine the asymptotic behavior of a sequence of ground state solutions of the Hardy-Sobolev equations as the singularity vanishes in the limit.  If this sequence is uniformly bounded in L-infinity,  we obtain a minimizing solution of the stationary Schrödinger equation with critical growth. In case the sequence blows up, we obtain C0 control on the blow up sequence, and we localize the point of singularity and derive precise blow up rates.