Hopf differentials and smoothing Sobolev homeomorphisms

Details Hopf differentials and smoothing Sobolev homeomorphisms Hopf differentials and smoothing Sobolev homeomorphisms

2010-06-27

arxiv.org/abs/1006.5174v1

Mathematics

Complex Variables

22 pages, 0 figures

Scientific paper

We prove that planar homeomorphisms can be approximated by diffeomorphisms in
the Sobolev space $W^{1,2}$ and in the Royden algebra. As an application, we
show that every discrete and open planar mapping with a holomorphic Hopf
differential is harmonic.

Affiliated with

Also associated with

No associations

Rating

Hopf differentials and smoothing Sobolev homeomorphisms does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hopf differentials and smoothing Sobolev homeomorphisms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hopf differentials and smoothing Sobolev homeomorphisms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-630350