Uniqueness of positive solutions for semilinear elliptic systems

DOI10.1016/j.jmaa.2005.07.026zbMath1211.35107OpenAlexW2054078156MaRDI QIDQ819650

Dang Dinh Hai

Publication date: 29 March 2006

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.2005.07.026

zbMATH Keywords

semilinear systemsuniquenesspositive solutions

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Boundary value problems for second-order elliptic systems (35J57)

Related Items

Uniqueness of positive solutions for a class of semipositone elliptic systems ⋮ Positive radial solutions to classes of nonlinear elliptic systems on the exterior of a ball ⋮ Unnamed Item ⋮ Existence and uniqueness of positive solutions for a class of semilinear elliptic systems ⋮ Existence, uniqueness and stability of positive solutions to a general sublinear elliptic systems ⋮ Unnamed Item ⋮ Positive solutions for an iterative system of nonlinear elliptic equations ⋮ Existence of infinitely many positive radial solutions for an iterative system of nonlinear elliptic equations on an exterior domain

Cites Work

• Unnamed Item
• Symmetry properties in systems of semilinear elliptic equations
• Monotonicity and symmetry of solutions of elliptic systems in general domains
• Uniqueness of positive solutions for a class of semilinear elliptic systems
• Existence and uniqueness of positive solutions of semilinear elliptic systems
• On the number of positive solutions for nonlinear elliptic equations when a parameter is large
• On the Number of Positive Solutions of Weakly Non-Linear Elliptic Equations when a Parameter is Large
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces