Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces
Analysis of PDEs
2018-06-06 v2
Abstract
We prove that -minimal surfaces are automatically . For this, we develop a new bootstrap regularity theory for solutions of integro-differential equations of very general type, which we believe is of independent interest.
Keywords
Cite
@article{arxiv.1202.4606,
title = {Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces},
author = {Begoña Barrios Barrera and Alessio Figalli and Enrico Valdinoci},
journal= {arXiv preprint arXiv:1202.4606},
year = {2018}
}