Uniqueness of positive solutions to some coupled cooperative variational elliptic systems

Yulian An, Jann Long Chern, Junping Shi

研究成果: 雜誌貢獻期刊論文同行評審

1 引文 斯高帕斯(Scopus)

摘要

The uniqueness of positive solutions to some semilinear elliptic systems with variational structure arising from mathematical physics is proved. The key ingredient of the proof is the oscillatory behavior of solutions to lin-earized equations for cooperative semilinear elliptic systems of two equations on one-dimensional domains, and it is shown that the stability of the positive solutions for such a semilinear system is closely related to the oscillatory behavior.

原文英語
頁(從 - 到)5209-5243
頁數35
期刊Transactions of the American Mathematical Society
370
發行號7
DOIs
出版狀態已發佈 - 2018 7月
對外發佈

ASJC Scopus subject areas

  • 數學(全部)
  • 應用數學

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