Speaker: Ramya Dutta (TIFR-CAM) Time: October 14, Friday, 11:30 am Venue: Room 216 Title: Apriori decay estimates for Hardy-Sobolev-Maz'ya equations and application to a Brezis-Nirenberg problem. Abstract: In this talk we will discuss some qualitative properties and sharp decay estimates of solutions to the Euler-Lagrange equation corresponding to Hardy-Sobolev-Mazya inequality with cylindrical weight. Using these sharp asymptotics we will establish a Brezis-Nirenberg type existence result for class of $C^1$ sublinear perturbations of the p-Hardy-Sobolev equation with cylindrical weight in a bounded domain in dimensions $n > p^2$ and an appropriate notion of positivity for these perturbations.