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

Title: An introduction to Gamma convergence Abstract: Many mathematical problems involve parameters that make those problems more and more complex or degenerate. It is of great interest to study the limiting behavior when the parameter varies. One class of such problems can be studied in a variational framework. Writing $F_\epsilpon$ as a class of functional