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Talk

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)

Abstract

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.

Anne Dornfeld

MPI for Mathematics in the Sciences Contact via Mail

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