The Principal Eigenvalue Problems for Perturbed Fractional Laplace Operators

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Published: Apr 29, 2021
DOI: https://doi.org/10.5556/j.tkjm.52.2021.3209
Keywords:
Fractional Laplace operator Principal eigenvalue Maximum principle weakly coupled cooperative systems

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Guangyu Zhao
Auburn University

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.

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How to Cite
Zhao, G. (2021). The Principal Eigenvalue Problems for Perturbed Fractional Laplace Operators. Tamkang Journal of Mathematics, 52(2), 189–220. https://doi.org/10.5556/j.tkjm.52.2021.3209
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Vol. 52 No. 2 (2021)
Section
Papers
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This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

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