Existence, uniqueness and stability of positive solutions for a class of semilinear elliptic systems

Authors

  • Renhao Cui
  • Ping Li
  • Junping Shi
  • Yunwen Wang

Keywords

Semilinear elliptic systems, positive solution, stability, existence, uniqueness

Abstract

We consider the stability of positive solutions to semilinear elliptic systems under a new general sublinear condition and its variants. Using the stability result and bifurcation theory, we prove the existence and uniqueness of positive solution and obtain the precise global bifurcation diagram of the system being a single monotone solution curve.

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Published

2013-04-22

How to Cite

1.
CUI, Renhao, LI, Ping, SHI, Junping and WANG, Yunwen. Existence, uniqueness and stability of positive solutions for a class of semilinear elliptic systems. Topological Methods in Nonlinear Analysis. Online. 22 April 2013. Vol. 42, no. 1, pp. 91 - 104. [Accessed 14 December 2024].

Issue

Vol 42, No 1 (September 2013)

Section

Articles

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