Uniqueness and existence of positive solutions for, weakly coupled general sublinear systems

DOI10.1016/S0362-546X(97)00380-5zbMath0895.35030MaRDI QIDQ4378796

Marcela Molina-Meyer

Publication date: 20 September 1998

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

zbMATH Keywords

linear stabilityprincipal eigenvaluesmaximum principle for cooperative systems

Mathematics Subject Classification ID

Related Items (12)

Coupled versus uncoupled blow-up rates in cooperative \(n\)-species logistic systems ⋮ Principal eigenvalue and maximum principle for cooperative periodic-parabolic systems ⋮ Boundary blow-up rate and uniqueness of the large solution for an elliptic cooperative system of logistic type ⋮ On a system of reaction--diffusion equations describing a population with two age groups ⋮ Large solutions for cooperative logistic systems: existence and uniqueness in star-shaped domains ⋮ Uniqueness of large positive solutions for a class of radially symmetric cooperative systems ⋮ Variational approach for a class of cooperative systems ⋮ Metasolutions in cooperative systems ⋮ On the existence of coexistence states for an advection-cooperative system with spatial heterogeneities ⋮ Asymptotic behaviour of principal eigenvalues for a class of cooperative systems ⋮ Long-time behavior of a cooperative periodic-parabolic system: temporal degeneracy versus spatial degeneracy ⋮ Long-time behavior of a cooperative periodic-parabolic system in a spatiotemporally degenerate environment

Cites Work

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• The maximum principle for cooperative weakly coupled elliptic systems and some applications
• Monotonicity and symmetry of solutions of elliptic systems in general domains
• The maximum principle and the existence of principal eigenvalues for some linear weighted boundary value problems
• Elliptic eigenvalue problems and unbounded continua of positive solutions of a semilinear elliptic equations
• Global attractivity and singular perturbation for a class of nonlinear cooperative systems
• On the Positive Solutions of Semilinear Equations Δu + λu - hu p = 0 on the Compact Manifolds
• The Minimum Principle for Elliptic Systems
• Coexistence States and Global Attractivity for Some Convective Diffusive Competing Species Models
• Sub- and super-solutions in bifurcation problems

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