Document Type
Article
Date
1-13-2010
Disciplines
Mathematics
Description/Abstract
The Harmonic Mapping Problem asks when there exists a harmonic homeomorphism between two given domains. It arises in the theory of minimal surfaces and in calculus of variations, specifically in hyperelasticity theory. We investigate this problem for doubly connected domains in the plane, where it already presents considerable challenge and leads to several interesting open questions.
Recommended Citation
Iwaniec, Tadeusz; Kovalev, Leonid V.; and Onninen, Jani, "Harmonic Mapping Problem and Affine Capacity" (2010). Mathematics - All Scholarship. 63.
https://surface.syr.edu/mat/63
Source
Harvested from arXiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Additional Information
This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/1001.2124