The obstacle problem for a fractional Monge--Amp\`ere equation
Analysis of PDEs
2019-11-21 v2 Classical Analysis and ODEs
Abstract
We study the obstacle problem for a nonlocal, degenerate elliptic Monge--Amp\`ere equation. We show existence and regularity of a unique classical solution to the problem and regularity of the free boundary.
Cite
@article{arxiv.1712.07226,
title = {The obstacle problem for a fractional Monge--Amp\`ere equation},
author = {Y. Jhaveri and P. R. Stinga},
journal= {arXiv preprint arXiv:1712.07226},
year = {2019}
}
Comments
23 pages. To appear in Communications in Partial Differential Equations