Quasiconformal mappings and Neumann eigenvalues of divergent elliptic operators

V. Gol'dshtein; V. Pchelintsev; A. Ukhlov

doi:10.1080/17476933.2021.1921752

Quasiconformal mappings and Neumann eigenvalues of divergent elliptic operators

V. Gol'dshtein, V. Pchelintsev, A. Ukhlov

Department of Mathematics

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

1 Scopus citations

Abstract

We study spectral properties of divergence form elliptic operators (Formula presented.) with the Neumann boundary condition in planar domains (including some fractal type domains) that satisfy to the quasihyperbolic boundary conditions. Our method is based on an interplay between quasiconformal mappings, elliptic operators and composition operators on Sobolev spaces.

Original language	English
Journal	Complex Variables and Elliptic Equations
DOIs	https://doi.org/10.1080/17476933.2021.1921752
State	Accepted/In press - 1 Jan 2021

Keywords

30C62
35J15
46E35
Elliptic equations
Sobolev spaces
quasiconformal mappings

Access to Document

10.1080/17476933.2021.1921752

Cite this

@article{c4b9dac7673f4818832d151b59e1b007,

title = "Quasiconformal mappings and Neumann eigenvalues of divergent elliptic operators",

abstract = "We study spectral properties of divergence form elliptic operators (Formula presented.) with the Neumann boundary condition in planar domains (including some fractal type domains) that satisfy to the quasihyperbolic boundary conditions. Our method is based on an interplay between quasiconformal mappings, elliptic operators and composition operators on Sobolev spaces.",

keywords = "30C62, 35J15, 46E35, Elliptic equations, Sobolev spaces, quasiconformal mappings",

author = "V. Gol'dshtein and V. Pchelintsev and A. Ukhlov",

note = "Publisher Copyright: {\textcopyright} 2021 Informa UK Limited, trading as Taylor & Francis Group.",

year = "2021",

month = jan,

day = "1",

doi = "10.1080/17476933.2021.1921752",

language = "English",

journal = "Complex Variables and Elliptic Equations",

issn = "1747-6933",

publisher = "Taylor and Francis Ltd.",

}

TY - JOUR

T1 - Quasiconformal mappings and Neumann eigenvalues of divergent elliptic operators

AU - Gol'dshtein, V.

AU - Pchelintsev, V.

AU - Ukhlov, A.

PY - 2021/1/1

Y1 - 2021/1/1

N2 - We study spectral properties of divergence form elliptic operators (Formula presented.) with the Neumann boundary condition in planar domains (including some fractal type domains) that satisfy to the quasihyperbolic boundary conditions. Our method is based on an interplay between quasiconformal mappings, elliptic operators and composition operators on Sobolev spaces.

AB - We study spectral properties of divergence form elliptic operators (Formula presented.) with the Neumann boundary condition in planar domains (including some fractal type domains) that satisfy to the quasihyperbolic boundary conditions. Our method is based on an interplay between quasiconformal mappings, elliptic operators and composition operators on Sobolev spaces.

KW - 30C62

KW - 35J15

KW - 46E35

KW - Elliptic equations

KW - Sobolev spaces

KW - quasiconformal mappings

UR - http://www.scopus.com/inward/record.url?scp=85106279028&partnerID=8YFLogxK

U2 - 10.1080/17476933.2021.1921752

DO - 10.1080/17476933.2021.1921752

M3 - Article

AN - SCOPUS:85106279028

JO - Complex Variables and Elliptic Equations

JF - Complex Variables and Elliptic Equations

SN - 1747-6933

ER -

Quasiconformal mappings and Neumann eigenvalues of divergent elliptic operators

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this