The harmonic mapping problem and affine capacity

Tadeusz Iwaniec, Leonid V. Kovalev, Jani Onninen

Type: Article

Publication Date: 2011-09-26

Citations: 11

DOI: https://doi.org/10.1017/s0308210510000107

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.

Locations

Proceedings of the Royal Society of Edinburgh Section A Mathematics - View
arXiv (Cornell University) - View - PDF
Syracuse University Libraries (Syracuse University) - View - PDF
DataCite API - View

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