The principal eigenvalue problems for perturbed fractional Laplace operators

Guangyu Zhao

doi:10.5556/j.tkjm.52.2021.3209

The principal eigenvalue problems for perturbed fractional Laplace operators

Guangyu Zhao

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

Abstract

We study a variety of basic properties of the principal eigenvalue of a perturbed fractional Laplace operator and weakly coupled cooperative systems involving fractional Laplace operators. Our work extends a number of well-known properties regarding the principal eigenvalues of linear second-order elliptic operators with Dirichlet boundary condition to perturbed fractional Laplace operators. The establish results are also utilized to investigate the spatio-temporary dynamics of population models.

Original language	American English
Pages (from-to)	189-220
Number of pages	32
Journal	Tamkang Journal of Mathematics
Volume	52
Issue number	2
DOIs	https://doi.org/10.5556/j.tkjm.52.2021.3209
State	Published - Jun 2021
Externally published	Yes

Keywords

Fractional Laplace operator
Principal eigenvalue
Maximum principle
weakly coupled cooperative systems

Disciplines

Mathematics

Access to Document

10.5556/j.tkjm.52.2021.3209License: CC BY-NC-SA

Cite this

@article{91089c4d46374fb180b48068f365eb5d,

title = "The principal eigenvalue problems for perturbed fractional Laplace operators",

abstract = "We study a variety of basic properties of the principal eigenvalue of a perturbed fractional Laplace operator and weakly coupled cooperative systems involving fractional Laplace operators. Our work extends a number of well-known properties regarding the principal eigenvalues of linear second-order elliptic operators with Dirichlet boundary condition to perturbed fractional Laplace operators. The establish results are also utilized to investigate the spatio-temporary dynamics of population models.",

keywords = "Fractional Laplace operator, Principal eigenvalue, Maximum principle, weakly coupled cooperative systems",

author = "Guangyu Zhao",

year = "2021",

month = jun,

doi = "10.5556/j.tkjm.52.2021.3209",

language = "American English",

volume = "52",

pages = "189--220",

journal = "Tamkang Journal of Mathematics",

number = "2",

}

TY - JOUR

T1 - The principal eigenvalue problems for perturbed fractional Laplace operators

AU - Zhao, Guangyu

PY - 2021/6

Y1 - 2021/6

N2 - We study a variety of basic properties of the principal eigenvalue of a perturbed fractional Laplace operator and weakly coupled cooperative systems involving fractional Laplace operators. Our work extends a number of well-known properties regarding the principal eigenvalues of linear second-order elliptic operators with Dirichlet boundary condition to perturbed fractional Laplace operators. The establish results are also utilized to investigate the spatio-temporary dynamics of population models.

AB - We study a variety of basic properties of the principal eigenvalue of a perturbed fractional Laplace operator and weakly coupled cooperative systems involving fractional Laplace operators. Our work extends a number of well-known properties regarding the principal eigenvalues of linear second-order elliptic operators with Dirichlet boundary condition to perturbed fractional Laplace operators. The establish results are also utilized to investigate the spatio-temporary dynamics of population models.

KW - Fractional Laplace operator

KW - Principal eigenvalue

KW - Maximum principle

KW - weakly coupled cooperative systems

U2 - 10.5556/j.tkjm.52.2021.3209

DO - 10.5556/j.tkjm.52.2021.3209

M3 - Article

VL - 52

SP - 189

EP - 220

JO - Tamkang Journal of Mathematics

JF - Tamkang Journal of Mathematics

IS - 2

ER -

The principal eigenvalue problems for perturbed fractional Laplace operators

Abstract

Keywords

Disciplines

Access to Document

Fingerprint

Cite this