Explicit $\infty$-harmonic functions in high dimensions
Analysis of PDEs
2019-01-29 v1
Abstract
The aim of this work is to derive new explicit solutions to the -Laplace equation, the fundamental PDE arising in Calculus of Variations in the space . 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.
Cite
@article{arxiv.1804.04465,
title = {Explicit $\infty$-harmonic functions in high dimensions},
author = {Birzhan Ayanbayev},
journal= {arXiv preprint arXiv:1804.04465},
year = {2019}
}
Comments
14 pages, 28 figures