The Principal Eigenvalue Problems for Perturbed Fractional Laplace Operators | Zendy

Guangyu Zhao | Zendy

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The Principal Eigenvalue Problems for Perturbed Fractional Laplace Operators

Author(s) -

Guangyu Zhao

Publication year - 2021

Publication title -

tamkang journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 18

eISSN - 0049-2930

pISSN - 2073-9826

DOI - 10.5556/j.tkjm.52.2021.3209

Subject(s) - mathematics , eigenvalues and eigenvectors , elliptic operator , laplace transform , laplace operator , principal (computer security) , operator (biology) , principal part , boundary value problem , mathematical analysis , computer science , biochemistry , chemistry , physics , repressor , quantum mechanics , transcription factor , gene , operating system

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.

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