Bifurcation of stable equilibria and nonlinear flux boundary condition with indefinite weight

DOI10.1016/j.jde.2011.07.020zbMath1261.35018OpenAlexW2074150107MaRDI QIDQ641005

Gustavo Ferron Madeira, Arnaldo Simal do Nascimento

Publication date: 21 October 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.07.020

zbMATH Keywords

population geneticsimplicit function theoremnonconstant stable equilibriaexchange of stability principleselection migration problem

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Semilinear elliptic equations (35J61) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (11)

Bifurcation of stable equilibria under nonlinear flux boundary condition with null average weight ⋮ Bifurcation in a reaction-diffusion model with nonlocal delay effect and nonlinear boundary condition ⋮ Bifurcation of positive solutions to scalar reaction-diffusion equations with nonlinear boundary condition ⋮ Stability and bifurcation of a reaction-diffusion-advection model with nonlinear boundary condition ⋮ Uniqueness of a positive solution for the Laplace equation with indefinite superlinear 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 ⋮ Existence and regularity for a nonlinear boundary flow problem of population genetics ⋮ Steady-state bifurcation of a nonlinear boundary problem ⋮ Bifurcation from trivial solution for elliptic systems with nonlinear boundary conditions ⋮ Bifurcation of Lotka-Volterra competition model with nonlinear boundary conditions

Cites Work

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• Exponentially stable equilibria to an indefinite nonlinear Neumann problem in smooth domains
• Existence and nonexistence of steady-state solutions for a selection- migration model in population genetics
• An indefinite nonlinear diffusion problem in population genetics. I: Existence and limiting profiles
• An indefinite nonlinear diffusion problem in population genetics. II: Stability and multiplicity
• Global bifurcation results for semilinear elliptic boundary value problems with indefinite weights and nonlinear boundary conditions
• Parabolic evolution equations and nonlinear boundary conditions
• A selection-migration model in population genetics
• Stability of local minima and stable nonconstant equilibria
• A semilinear parabolic system for migration and selection in population genetics
• Stable boundary layers in a diffusion problem with nonlinear reaction at the boundary
• Evolution of a semilinear parabolic system for migration and selection in population genetics
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Evolution of a semilinear parabolic system for migration and selection without dominance
• Existence and regularity for a nonlinear boundary flow problem of population genetics
• Bifurcation from simple eigenvalues
• On a nonlinear elliptic eigenvalue problem with neumann boundary conditions, with an application to population genetics
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• On eigenvalue problems with Robin type boundary conditions having indefinite coefficients
• Real Interpolation of Sobolev Spaces on Subdomains of Rn
• Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
• A Picone's identity for the p-Laplacian and applications
• Properties of the principal eigenvalues of a general class of non-classical mixed boundary value problems.

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