SINGULARITIES IN ℒp-QUASIDISKS

Tadeusz Iwaniec; Jani Onninen; Zheng Zhu

doi:10.5186/aasfm.2021.4665

SINGULARITIES IN ℒp-QUASIDISKS

Tadeusz Iwaniec^*
, Jani Onninen
, Zheng Zhu

^*此作品的通讯作者

Syracuse University
University of Jyväskylä

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

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 question.

源语言	英语
页（从-至）	1053-1069
页数	17
期刊	Annales Fennici Mathematici
卷	46
期	2
DOI	https://doi.org/10.5186/aasfm.2021.4665
出版状态	已出版 - 2021
已对外发布	是

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10.5186/aasfm.2021.4665

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title = "SINGULARITIES IN ℒp-QUASIDISKS",

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 question.",

keywords = "Cusp, Mappings of integrable distortion, Quasiconformal, Quasidisk",

author = "Tadeusz Iwaniec and Jani Onninen and Zheng Zhu",

year = "2021",

doi = "10.5186/aasfm.2021.4665",

language = "英语",

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T1 - SINGULARITIES IN ℒp-QUASIDISKS

AU - Iwaniec, Tadeusz

AU - Onninen, Jani

AU - Zhu, Zheng

PY - 2021

Y1 - 2021

N2 - 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 question.

AB - 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 question.

KW - Cusp

KW - Mappings of integrable distortion

KW - Quasiconformal

KW - Quasidisk

UR - https://www.scopus.com/pages/publications/85114694179

U2 - 10.5186/aasfm.2021.4665

DO - 10.5186/aasfm.2021.4665

M3 - 文章

AN - SCOPUS:85114694179

SN - 2737-0690

VL - 46

SP - 1053

EP - 1069

JO - Annales Fennici Mathematici

JF - Annales Fennici Mathematici

IS - 2

ER -

SINGULARITIES IN ℒp-QUASIDISKS

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