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

Ben-Gurion University of the Negev

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

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	American English
Pages (from-to)	2281-2302
Number of pages	22
Journal	Complex Variables and Elliptic Equations
Volume	67
Issue number	9
DOIs	https://doi.org/10.1080/17476933.2021.1921752
State	Published - 1 Jan 2022

Keywords

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

All Science Journal Classification (ASJC) codes

Analysis
Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1080/17476933.2021.1921752

Cite this

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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.",

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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.

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KW - 46E35

KW - Elliptic equations

KW - Sobolev spaces

KW - quasiconformal mappings

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ER -

Quasiconformal mappings and Neumann eigenvalues of divergent elliptic operators

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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