Bifurcation of non-negative solutions for an elliptic system

DOI10.1007/S10483-008-0212-7zbMath1231.35073OpenAlexW2020355963MaRDI QIDQ940559

B. E. Eshmatov

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-008-0212-7

zbMATH Keywords

bifurcationelliptic systemstructure of positive solutions

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Nonlinear elliptic equations (35J60) Abstract bifurcation theory involving nonlinear operators (47J15) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Cites Work

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• Non-constant positive steady states of the Sel'kov model.
• Stationary patterns for a prey-predator model with prey-dependent and ratio-dependent functional responses and diffusion
• On bifurcation from infinity
• Structure of positive solutions for some semilinear elliptic systems where bifurcation from infinity occurs
• Some global results for nonlinear eigenvalue problems
• Bifurcation from simple eigenvalues
• Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations
• Non-constant positive steady states of a predator-prey system with non-monotonic functional response and diffusion

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