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Analysis Seminar

Thursday, October 3, 2019 - 3:00pm

Florin Catrina

Saint John's University

Location

University of Pennsylvania

4C6

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.