Singularities In L p-quasidisks
Classical Analysis and ODEs
2019-09-05 v1
Abstract
We study planar domains with exemplary boundary singularities of the form of cusps. A natural question is how much elastic energy is needed to flatten these cusps; that is, to remove singularities. We give, in a connection of quasidisks, a sharp integrability condition for the distortion function to answer this ques tion.
Cite
@article{arxiv.1909.01573,
title = {Singularities In L p-quasidisks},
author = {Tadeusz Iwaniec and Jani Onninen and Zheng Zhu},
journal= {arXiv preprint arXiv:1909.01573},
year = {2019}
}