Continuity of two-dimensional weakly stationary-harmonic multiple-valued functions

  • Chun-Chi Lin (MPI MiS, Leipzig + National Taiwan Normal University, Taipei)
A3 01 (Sophus-Lie room)


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.

26.11.96 27.06.24

Oberseminar Analysis

MPI für Mathematik in den Naturwissenschaften Leipzig (Leipzig) E2 10 (Leon-Lichtenstein) E1 05 (Leibniz-Saal)
Universität Leipzig (Leipzig) Augusteum - A314

Anne Dornfeld

MPI for Mathematics in the Sciences Contact via Mail