The one-dimensional nonlocal Dominative $p$-Laplace equation
Analysis of PDEs
2020-12-23 v1
Abstract
The explicit solution to the Dirichlet problem for a class of mean value equations on the real line is derived. It shed some light on the behavior of solutions to general nonlocal elliptic equations.
Cite
@article{arxiv.2012.11979,
title = {The one-dimensional nonlocal Dominative $p$-Laplace equation},
author = {Karl K. Brustad},
journal= {arXiv preprint arXiv:2012.11979},
year = {2020}
}
Comments
22 pages, 8 figures