A Nonlocal Problem from Conservation Biology

DOI10.1137/130930029zbMath1323.92170OpenAlexW1984978455MaRDI QIDQ5179169

Linfeng Mei, Julián López-Gómez, Marcela Molina-Meyer, Sze-Bin Hsu

Publication date: 19 March 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/defe6f67c97775310c084e9bdb09bdb38ce8f1df

zbMATH Keywords

global bifurcation diagramsdegenerate nonlocal parabolic problemsexistence and multiplicity of steady state solutionslocal stability of steady-statespath-following coupled with collocation

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) General biology and biomathematics (92B05) Second-order parabolic equations (35K10) Semilinear elliptic equations (35J61)

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Study of a generalized logistic equation with nonlocal reaction term ⋮ Bifurcation results for a non-local elliptic equation with a nonlinear boundary condition ⋮ Polar differentiation matrices for the Laplace equation in the disk under nonhomogeneous Dirichlet, Neumann and Robin boundary conditions and the biharmonic equation under nonhomogeneous Dirichlet conditions ⋮ Spatial competition strategies: the case of two refuges ⋮ Bifurcation results for a Kirchhoff type problem involving sign-changing weight functions ⋮ A variational approach for Kirchhoff-Carrier type non-local equation boundary value problems

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