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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
On the gradient set of Lipschitz maps
Bernd Kirchheim and László SzékelyhidiAbstract
We prove that the essential range of the gradient of planar Lipschitz maps has a connected rank-one convex hull. As a corollary, in combination with the results in Faraco, D., and Székelyhidi, Jr., L.: Tartar's conjecture and localization of the quasiconvex hull in {
- Received:
- 12.02.07
- Published:
- 12.02.07