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

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

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

6 引文 斯高帕斯(Scopus)

摘要

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.

原文英語
頁(從 - 到)45-64
頁數20
期刊Proceedings of the Royal Society of Edinburgh Section A: Mathematics
141
發行號1
DOIs
出版狀態已發佈 - 2011 2月
對外發佈

ASJC Scopus subject areas

  • 數學(全部)

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