Penn Arts & Sciences Logo

Analysis Seminar

Thursday, October 3, 2019 - 3:00pm

Florin Catrina

Saint John's University


University of Pennsylvania


We discuss a class of functional inequalities which interpolate between weighted Hardy and weighted Sobolev inequalities in RN. In general, the Euler-Lagrange equations corresponding to the energy naturally associated to these inequalities admit multiple positive solutions. Their symmetry and energy levels distinguish among solutions. One of the nice features of these equations is the fact that they allow to calculate exactly the range of parameters for which certain symmetries of solutions hold.