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# Analysis Seminar – Michael Penrod (University of Alabama)

## April 16 @ 3:00 pm - 4:00 pm

Title: Poincare Inequalities and Neumann Problems for the p(.) Laplacian

Abstract: In this talk, we discuss an established result proving an equivalence between weighted Poincare inequalities and the existence of weak solutions to a family of Neumann problems related to a degenerate p-Laplacian. We then extend this result to the variable exponent setting. We also explore a few of the adaptations required to prove this extension.