University of Toronto
               PDE/Applied Math/Analysis Seminar
                 Monday Noveber 28, 3:10-4pm
                       1230 Bahen Center      




SPEAKER:  Juan Manredi (University of Pittsburgh)

TITLE:    Quasilinear PDEs in the Heisenberg group

ABSTRACT: We first present an introduction to the geometry and
	  analysis in the Heisenberg group. We then review the
	  analog of the De Giorgi-Moser estimates for elliptic
	  equations in divergence form with measurable 
	  coefficients. Next, we discuss the higher regularity
	  of solutions to the subelliptic p-Laplacian when p is
	  close to 2 using Cordes subelliptic estimates. The talk
	  will end with a general discussion of regularity for
	  quasilinear elliptic equations modeled on the p-Laplacian.
	  The new results presented are in collaboration with
	  Andras Domokos and Giuseppe Mingione.







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University of Toronto PDE/Applied Math/Analysis Seminar 
http://www.math.toronto.edu/appmath/

2005-2006 organizers:
          Pieter Blue           pblue@ math.toronto.edu
          Almut Burchard        almut@ math.toronto.edu
          Bob Jerrard           rjerrard@ math.toronto.edu
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