Asymptotic behavior of the principal eigenvalue and the basic reproduction ratio for periodic patch models
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DOI: 10.1007/s11425-021-1894-2
Abstract: This paper is devoted to the study of the asymptotic behavior of the principal eigenvalue and basic reproduction ratio associated with periodic population models in a patchy environment for small and large dispersal rates. We… read more here.
Keywords: asymptotic behavior; reproduction ratio; basic reproduction; principal eigenvalue ... See more keywords
The Brunn–Minkowski inequality for the principal eigenvalue of fully nonlinear homogeneous elliptic operators
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DOI: 10.1016/j.aim.2019.106855
Abstract: Abstract We prove that the principal eigenvalue of any fully nonlinear homogeneous elliptic operator which fulfills a very simple convexity assumption satisfies a Brunn-Minkowski type inequality on the class of open bounded sets in R… read more here.
Keywords: fully nonlinear; nonlinear homogeneous; brunn minkowski; eigenvalue fully ... See more keywords
Principal eigenvalue of mixed problem for the fractional Laplacian: Moving the boundary conditions
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DOI: 10.1016/j.jde.2018.03.001
Abstract: Abstract We analyze the behavior of the eigenvalues of the following nonlocal mixed problem { ( − Δ ) s u = λ 1 ( D ) u in Ω , u = 0 in … read more here.
Keywords: eigenvalue mixed; fractional laplacian; problem fractional; mixed problem ... See more keywords
Dirichlet principal eigenvalue comparison theorems in geometry with torsion
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DOI: 10.1016/j.jmaa.2017.04.030
Abstract: This work was supported by the Fundacao para a Ciencia e Tecnologia (Portugal) through the project PTDC/MAT/118682/2010, and through Centro de Matemtica da Universidade do Minho [PEst-C/MAT/UI0013/2011, PEst-OE/MAT/UI0013/2014 to A.C.F] and Centro de Fisica e… read more here.
Keywords: dirichlet principal; eigenvalue comparison; comparison theorems; geometry ... See more keywords