PDE Seminar On the boundary properties of pharmonic functions
 Date

201067 16:30 
201067 17:30
 Place
 Faculty of Science Building #3 Room 202

Speaker/Organizer
 Jose G. Llorente (Universitat Autonoma de Barcelona, Spain)

 For p>1, pharmonic 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 nonlinearity 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
pharmonic functions in smooth domains, like the Fatoutype theorems,
Wolff's examples and the pathological behaviour of pharmonic measure.