Uniqueness of large positive solutions for a class of radially symmetric cooperative systems

DOI10.1016/j.jmaa.2015.11.026zbMath1333.35059OpenAlexW2219348818MaRDI QIDQ898889

Luis Maire, Julián López-Gómez

Publication date: 21 December 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.11.026

zbMATH Keywords

maximum principleuniquenessradial symmetrycooperative systemlarge positive solution

Mathematics Subject Classification ID

Positive solutions to PDEs (35B09) Boundary value problems for second-order elliptic systems (35J57)

Related Items

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, The existence of minimal large positive solutions for a class of nonlinear cooperative systems, General uniqueness results for large solutions, Large solutions for cooperative logistic systems: existence and uniqueness in star-shaped domains, Entire large solutions to semilinear elliptic equations with rapidly or regularly varying nonlinearities, Symmetry results of large solutions for semilinear cooperative elliptic systems

Cites Work

• Unnamed Item
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• Multiplicity of positive solutions to boundary blow-up elliptic problems with sign-changing weights
• On the inequality \(\Delta u \geqq f (u)\)
• Existence, uniqueness and blow-up rate of large solutions for a canonical class of one-dimensional problems on the half-line
• Metasolutions in cooperative systems
• Uniqueness of radially symmetric large solutions
• Uniqueness of positive solutions for a boundary blow-up problem
• The maximum principle for cooperative weakly coupled elliptic systems and some applications
• Semilinear elliptic equations with uniform blow-up on the boundary
• `Large' solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour
• A singular elliptic boundary value problem
• Uniqueness and asymptotic behavior of solutions with boundary blow-up for a class of nonlinear elliptic equations
• Diffusion and ecological problems: Modern perspectives.
• The maximum principle and the existence of principal eigenvalues for some linear weighted boundary value problems
• Global attractivity and singular perturbation for a class of nonlinear cooperative systems
• High multiplicity and complexity of the bifurcation diagrams of large solutions for a class of superlinear indefinite problems
• The exact boundary blow-up rate of large solutions for semilinear elliptic problems
• The uniqueness of blow-up solution for radially symmetric semilinear elliptic equation
• Optimal uniqueness theorems and exact blow-up rates of large solutions
• Uniqueness and asymptotic behaviour for solutions of semilinear problems with boundary blow-up
• EXISTENCE AND UNIQUENESS OF BLOW-UP SOLUTIONS FOR A CLASS OF LOGISTIC EQUATIONS
• On solutions of δu=f(u)
• On a problem of Bieberbach and Rademacher
• Uniqueness and existence of positive solutions for, weakly coupled general sublinear systems
• Blow-Up Solutions for a Class of Semilinear Elliptic and Parabolic Equations
• Existence and uniqueness of coexistence states for some nonlinear elliptic systems
• Back to the Keller-Osserman Condition for Boundary Blow-up Solutions