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Mathematics > Analysis of PDEs

arXiv:1804.05466 (math)
[Submitted on 16 Apr 2018]

Title:Phase separation of n dimensional infinity Harmonic mappings

Authors: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.
Comments: 9 pages, 4 figures
Subjects: Analysis of PDEs (math.AP)
Cite as: arXiv:1804.05466 [math.AP]
  (or arXiv:1804.05466v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.1804.05466

Submission history

From: Hussien Ali Hussien Abugirda [view email]
[v1] Mon, 16 Apr 2018 01:15:00 UTC (44 KB)
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