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 the calculus of variations, specifically in hyperelasticity theory. We investigate this problem for doubly connected domains in the plane, where it already presents a considerable challenge and leads to several interesting open questions. ©
Original language | English (US) |
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Pages (from-to) | 1017-1030 |
Number of pages | 14 |
Journal | Proceedings of the Royal Society of Edinburgh Section A: Mathematics |
Volume | 141 |
Issue number | 5 |
DOIs | |
State | Published - Oct 2011 |
ASJC Scopus subject areas
- General Mathematics