PDE Seminar On the boundary properties of p-harmonic functions

2010-6-7 16:30 - 2010-6-7 17:30
Faculty of Science Building #3 Room 202
Jose G. Llorente (Universitat Autonoma de Barcelona, Spain)
For p>1, p-harmonic functions are solutions of a divergence form operator
that is non linear unless p=2, in which case it reduces to the usual
Laplacian. Nevertheless, the non-linearity makes the study of the boundary
behaviour of the solutions much more complicated than in the classical
case. We will discuss different aspects of the boundary behaviour of
p-harmonic functions in smooth domains, like the Fatou-type theorems,
Wolff's examples and the pathological behaviour of p-harmonic measure.