Open AccessThe 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.