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Optimal location of resources and Steiner symmetry in a population dynamics model in heterogeneous environments

2022
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Annales Fennici Mathematici
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The subject of this paper is inspired by Cantrell and Cosner (1989) and Cosner, Cuccu and Porru (2013). Cantrell and Cosner (1989) investigate the dynamics of a population in heterogeneous environments by means of diffusive logistic equations. An important part of their study consists in finding sufficient conditions which guarantee the survival of the species. Mathematically, this task leads to the weighted eigenvalue problem \(-\Delta u =\lambda m u \) in a bounded smooth domain

doi:10.54330/afm.113547
fatcat:zmxyyxrubnexzj5cucywuhtxaa