- This event has passed.
Analysis Seminar – David Cruz-Uribe (University of Alabama)
March 2, 2018 @ 3:00 pm - 4:00 pm
Title: Poincare inequalities and Neumann problems for the p-Laplacian
Abstract: I will discuss my recent work with Scott Rodney on the following equivalence: the existence of solutions to a degenerate p-Laplacian equation and the existence of a weighted (p,p) Poincare inequality. Our results are in the context of degenerate Sobolev spaces, where the degeneracy is defined in terms of a degenerate elliptic matrix and I will spend some time talking about this general context. If time permits, I will also discuss the application of similar ideas to show that a local, weak Sobolev inequality implies the existence of a global Sobolev inequality.