Zusammenfassung für den Vortrag am 17.07.2012 (15:15 Uhr)

Oberseminar ANALYSIS
Chun-Chi Lin (MPI MIS, Leipzig + National Taiwan Normal University, Taipei)
Continuity of two-dimensional weakly stationary-harmonic multiple-valued functions
In this talk, I would like to introduce the class of weakly stationary-harmonic multiple-valued functions in the Sobolev space of multiple-valued functions. This class of functions are defined as the critical points of Dirichlet integral under smooth domain-variations and range-variations. I would show the interior continuity for this class of functions as the domain-dimension is two.