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CNA Seminar
Juan Manfredi
University of Pittsburgh
Title: Mean value properties: old and new

Abstract: A classical result states that harmonic functions are characterized by the mean value property over balls or over spheres. In this lecture we explore analogues of this result for p-harmonic functions, solution of the p-Laplace equation, where the exponent p is finite, p >1. We characterize p-harmonic functions by using asymptotic mean value properties, extending several classical results from the linear case p=2 to other p's.

I will mention results jointly obtained with Fausto Ferrari (Bologna), Bernd Kawohl (Cologne), Qing Liu (Pittsburgh), Adam Oberman (Montreal), Mikko Parviainen (Helsinki), Julio Rossi (Alicante), and Alexander Sviridov (Nashville).

Recording (avi): http://mm.math.cmu.edu/recordings/cna/CNA-JuanManfredi-Apr-16-2013.avi
Recording (mp4): http://mm.math.cmu.edu/recordings/cna/CNA-JuanManfredi-Apr-16-2013.mp4
Pdf File: CMUApril2013Finalpdf.pdf
Date: Tuesday, April 16, 2013
Time: 1:30 pm
Location: Wean Hall 7218
Submitted by:  David Kinderlehrer