Behavior and stability of positive solutions of nonlinear elliptic boundary value problems arising in population dynamics

DOI10.1016/S0362-546X(01)00142-0zbMath1112.35323MaRDI QIDQ1601672

Kenichiro Umezu

Publication date: 27 June 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Population dynamics (general) (92D25) Nonlinear elliptic equations (35J60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (14)

Bifurcation in a reaction-diffusion model with nonlocal delay effect and nonlinear boundary condition ⋮ Unnamed Item ⋮ Bifurcation of positive solutions to scalar reaction-diffusion equations with nonlinear boundary condition ⋮ On the stability of reaction-diffusion models with nonlocal delay effect and nonlinear boundary condition ⋮ Stability and bifurcation of a reaction-diffusion-advection model with nonlinear boundary condition ⋮ Behavior and stability of steady-state solutions of nonlinear boundary value problems with nonlocal delay effect ⋮ Existence of positive solutions to a Laplace equation with nonlinear boundary condition ⋮ Principal eigenvalues for generalised indefinite Robin problems ⋮ Bifurcation approach to a logistic elliptic equation with a homogeneous incoming flux boundary condition ⋮ Nonnegative solutions to an elliptic problem with nonlinear absorption and a nonlinear incoming flux on the boundary ⋮ Coexistence states of an elliptic system modeling a population with two age groups ⋮ Local structure of bifurcation curves for nonlinear Sturm-Liouville problems ⋮ Bifurcation from trivial solution for elliptic systems with nonlinear boundary conditions ⋮ Bifurcation for a logistic elliptic equation with nonlinear boundary conditions: a limiting case

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