Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem
Analysis of PDEs
2019-08-12 v2
Abstract
We answer a question left open in [Arch. Rat. Mech. Anal. 230 (1) (2018), 125-184] and [Arch. Rat. Mech. Anal. 230 (2) (2018), 783-784], by proving that the blow-up limit of minimizers of the lower dimensional obstacle problem is unique at generic point of the free-boundary.
Keywords
Cite
@article{arxiv.1908.01413,
title = {Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem},
author = {Maria Colombo and Luca Spolaor and Bozhidar Velichkov},
journal= {arXiv preprint arXiv:1908.01413},
year = {2019}
}