On the homotopy Dirichlet problem for p-harmonic maps

Details On the homotopy Dirichlet problem for p-harmonic maps On the homotopy Dirichlet problem for p-harmonic maps

2012-04-24

arxiv.org/abs/1204.5430v1

Mathematics

Differential Geometry

30 pages

Scientific paper

In this paper we deal with the relative homotopy Dirichlet problem for p-harmonic maps from compact manifolds with boundary to manifolds of non-positive sectional curvature. Notably, we give a complete solution to the problem in case the target manifold is either compact, rotationally symmetric or two dimensional and simply connected. The proof of the compact case uses some ideas of White to define the relative d-homotopy type of Sobolev maps, and the regularity theory by Hardt and Lin. To deal with non-compact targets we introduce a periodization procedure which permits to reduce the problem to the previous one. Also, a general uniqueness result is given.

Affiliated with

Also associated with

No associations

Rating

On the homotopy Dirichlet problem for p-harmonic maps 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 On the homotopy Dirichlet problem for p-harmonic maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the homotopy Dirichlet problem for p-harmonic maps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-520568