University of Toronto
                   PDE/Applied Math/Analysis Seminar
                    Friday 2. November, 1:10-2:00pm
                          6183 Bahen Center      
 

SPEAKER:

Abdeslem Lyaghfouri (Fields Institute)

TITLE:

A Minimum Problem with Free Boundary for the p(x)-Laplace Operator

ABSTRACT:

In this talk we consider a minimization problem in the variable
exponent Sobolev space W^{1,p(x)}.
We show Lipschitz continuity for each minimizer and Lebesgue
measure zero for the corresponding free boundary. This extends
some results of Alt-Caffarelli and Danielli-Petrosyan in the constant 
exponent case.


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

2007-2008 organizers:
          Walid Abou-Salem      walid@ math.toronto.edu
          Almut Burchard        almut@ math.toronto.edu
          Robert McCann		mccann@ math.toronto.edu
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