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arXiv · 1804.04465

Explicit $\infty$-harmonic functions in high dimensions

Birzhan Ayanbayev
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Abstract

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.

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Birzhan Ayanbayev. 2018-04-12. Explicit $\infty$-harmonic functions in high dimensions. https://doi.org/10.1007/s41808-018-0020-7

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