The Dirichlet problem for p-harmonic functions on the topologist's comb
Analysis of PDEs
2015-01-19 v1
Abstract
In this paper we study the Perron method for solving the p-harmonic Dirichlet problem on the topologist's comb. For functions which are bounded and continuous at the accessible points, we obtain invariance of the Perron solutions under arbitrary perturbations on the set of inaccessible points. We also obtain some results allowing for jumps and perturbations at a countable set of points.
Cite
@article{arxiv.1304.1681,
title = {The Dirichlet problem for p-harmonic functions on the topologist's comb},
author = {Anders Björn},
journal= {arXiv preprint arXiv:1304.1681},
year = {2015}
}
Comments
16 pages, 1 figure