Phase separation of n dimensional infinity Harmonic mappings

Hussien Abugirda

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arXiv · 1804.05466

Phase separation of n dimensional infinity Harmonic mappings

Hussien Abugirda

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Abstract

Among other interesting results, in a recent paper, Katzourakis analysed the phenomenon of separation of the solutions to the infinity Laplace system to phases with qualitatively different behavior in the case of the 2 dimensional infinity Harmonic mappings. The solutions of the infinity Laplace system are called the infinity Harmonic mappings. In this paper we discuss an extension of Katzourakis result mentioned above to higher dimensions by studying the phase separation of n dimensional infinity Harmonic mappings.

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Hussien Abugirda. 2018-04-16. Phase separation of n dimensional infinity Harmonic mappings. https://arxiv.org/abs/1804.05466

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