Existence, uniqueness and stability of positive solutions to sublinear elliptic systems

Jann Long Chern*, Yong Li Tang, Chang Shou Lin, Junping Shi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

The existence, stability and uniqueness of positive solutions to a semilinear elliptic system with sublinear nonlinearities are proved. It is shown that the precise global bifurcation diagram of the positive solutions is a monotone curve with different asymptotical behaviour according to the form of the nonlinearities. Equations with Hölder continuous nonlinearities are also considered.

Original languageEnglish
Pages (from-to)45-64
Number of pages20
JournalProceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume141
Issue number1
DOIs
Publication statusPublished - 2011 Feb
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics

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