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arXiv:1804.04465 [math.AP]AbstractReferencesReviewsResources

Explicit $\infty$-harmonic functions in high dimensions

Birzhan Ayanbayev

Published 2018-04-12Version 1

The aim of this work is to derive new explicit solutions to the $\infty$-Laplace equation, the fundamental PDE arising in Calculus of Variations in the space $L^\infty$. These solutions obey certain symmetry conditions and are derived in arbitrary dimensions, containing as particular sub-cases the already known classes two-dimensional infinity-harmonic functions.

Comments: 14 pages, 28 figures
Categories: math.AP
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