On the multiple membranes problem
Analysis of PDEs
2018-01-18 v1
Abstract
We establish the optimal regularity for solutions to the multiple membranes problem, and perform a blow-up analysis at points on the free boundary with the highest multiplicity. This leads to a complete classification of blow-up profiles in the plane. The main technical tool is a Weiss-type monotonicity formula.
Cite
@article{arxiv.1801.05523,
title = {On the multiple membranes problem},
author = {Ovidiu Savin and Hui Yu},
journal= {arXiv preprint arXiv:1801.05523},
year = {2018}
}
Comments
17 pages