On nonlocal minimal graphs
Analysis of PDEs
2020-11-02 v1
Abstract
We develop a functional analytic approach for the study of nonlocal minimal graphs. Through this, we establish existence and uniqueness results, a priori estimates, comparison principles, rearrangement inequalities, and the equivalence of several notions of minimizers and solutions.
Cite
@article{arxiv.2010.16206,
title = {On nonlocal minimal graphs},
author = {Matteo Cozzi and Luca Lombardini},
journal= {arXiv preprint arXiv:2010.16206},
year = {2020}
}
Comments
A preliminary version of this paper appeared as part of the PhD thesis of the second author