A COURANT NODAL DOMAIN THEOREM FOR LINEARIZED MEAN FIELD TYPE EQUATIONS

Daniele Bartolucci; Aleks Jevnikar; Ruijun Wu

doi:10.3934/cpaa.2023085

A COURANT NODAL DOMAIN THEOREM FOR LINEARIZED MEAN FIELD TYPE EQUATIONS

Daniele Bartolucci, Aleks Jevnikar, Ruijun Wu^*

^*Corresponding author for this work

School of Mathematics and Statistics

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

Abstract

We are concerned with the analysis of a mean field type equation and its linearization, which is a nonlocal operator, for which we estimate the number of nodal domains for the radial eigenfunctions and the related uniqueness properties.

Original language	English
Pages (from-to)	2744-2759
Number of pages	16
Journal	Communications on Pure and Applied Analysis
Volume	22
Issue number	9
DOIs	https://doi.org/10.3934/cpaa.2023085
Publication status	Published - 2023

Keywords

Nodal domain theorem
generalized nodal domains
mean field type equations
nonlocal equations
radial eigenfunction

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10.3934/cpaa.2023085

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Bartolucci, D., Jevnikar, A., & Wu, R. (2023). A COURANT NODAL DOMAIN THEOREM FOR LINEARIZED MEAN FIELD TYPE EQUATIONS. Communications on Pure and Applied Analysis, 22(9), 2744-2759. https://doi.org/10.3934/cpaa.2023085

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title = "A COURANT NODAL DOMAIN THEOREM FOR LINEARIZED MEAN FIELD TYPE EQUATIONS",

abstract = "We are concerned with the analysis of a mean field type equation and its linearization, which is a nonlocal operator, for which we estimate the number of nodal domains for the radial eigenfunctions and the related uniqueness properties.",

keywords = "Nodal domain theorem, generalized nodal domains, mean field type equations, nonlocal equations, radial eigenfunction",

author = "Daniele Bartolucci and Aleks Jevnikar and Ruijun Wu",

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AU - Jevnikar, Aleks

AU - Wu, Ruijun

PY - 2023

Y1 - 2023

N2 - We are concerned with the analysis of a mean field type equation and its linearization, which is a nonlocal operator, for which we estimate the number of nodal domains for the radial eigenfunctions and the related uniqueness properties.

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KW - Nodal domain theorem

KW - generalized nodal domains

KW - mean field type equations

KW - nonlocal equations

KW - radial eigenfunction

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A COURANT NODAL DOMAIN THEOREM FOR LINEARIZED MEAN FIELD TYPE EQUATIONS

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Keywords

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