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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Pages (from-to)	1053-1069
Number of pages	17
Journal	Annales Fennici Mathematici
Volume	46
Issue number	2
DOIs	https://doi.org/10.5186/aasfm.2021.4665
State	Published - 2021
Externally published	Yes

Keywords

Cusp
Mappings of integrable distortion
Quasiconformal
Quasidisk

Access to Document

10.5186/aasfm.2021.4665

Cite this

@article{b68fdd7a85214382871deaa7edc62b03,

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",

volume = "46",

pages = "1053--1069",

journal = "Annales Fennici Mathematici",

issn = "2737-0690",

publisher = "Finnish Mathematical Society",

number = "2",

}

TY - JOUR

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this