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

Department of Mathematics

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

2 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 (US)
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

Keywords

Cusp
Mappings of integrable distortion
Quasiconformal
Quasidisk

ASJC Scopus subject areas

General Mathematics

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10.5186/aasfm.2021.4665

Cite this

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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",

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AU - Iwaniec, Tadeusz

AU - Onninen, Jani

AU - Zhu, Zheng

PY - 2021

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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

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ER -

SINGULARITIES IN ℒp-QUASIDISKS

Abstract

Keywords

ASJC Scopus subject areas

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