Positive solutions to general elliptic systems

DOI10.1016/0362-546X(94)00134-4zbMath0831.35048OpenAlexW2051533033MaRDI QIDQ4842554

Yaping Liu

Publication date: 22 February 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)00134-4

zbMATH Keywords

Robin boundary conditionfixed point index on cones in a Banach space

Mathematics Subject Classification ID

Related Items (10)

Asymptotic behavior of positive solutions to a predator-prey elliptic system with strong hunting cooperation in predators ⋮ Coexistence of a diffusive predator-prey model with Holling type-II functional response and density dependent mortality ⋮ Positive solutions for large elliptic systems of interacting species groups by cone index methods. ⋮ Coexistence states for a diffusive one-prey and two-predators model with B-D functional response ⋮ Positive solutions of a prey-predator model with predator saturation and competition ⋮ Coexistence of a one-prey two-predators model with ratio-dependent functional responses ⋮ Coexistence states of a Holling type-II predator-prey system ⋮ Analysis of diffusive two-competing-prey and one-predator systems with Beddington-DeAngelis functional response ⋮ Invasion waves for a diffusive predator–prey model with two preys and one predator ⋮ The Keller-Osserman-type conditions for the study of a semilinear elliptic system

Cites Work

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• On positive solutions of a nonlinear equilibrium boundary value problem
• On the indices of fixed points of mappings in cones and applications
• A remark on the preceding paper of Amann
• Existence of Steady-State Solutions for a One-Predator–Two-Prey System
• On the dirichlet problem for elliptic systems
• On positive solutions of general nonlinear elliptic symbiotic interacting systems
• Spectral and Nonlinear Effects in Certain Elliptic Systems of Three Variables

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