The harmonic mapping problem and affine capacity

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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 languageEnglish (US)
Pages (from-to)1017-1030
Number of pages14
JournalProceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume141
Issue number5
DOIs
StatePublished - Oct 1 2011

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ASJC Scopus subject areas

  • Mathematics(all)

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