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Uniqueness of positive solution to some coupled cooperative variational elliptic systems

Jann-Long Chern Central University

Analysis of PDEs mathscidoc:1803.03004

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018
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 linearized 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 semilinear system is closely related to the oscillatory behavior.
UNIQUENESS; COUPLED COOPERATIVE VARIATIONAL; ELLIPTIC SYSTEMS
[ Download ] [ 2018-03-05 21:21:01 uploaded by chern ] [ 877 downloads ] [ 0 comments ] 
@inproceedings{jann-long2018uniqueness,
  title={UNIQUENESS OF POSITIVE SOLUTION TO SOME COUPLED COOPERATIVE VARIATIONAL ELLIPTIC SYSTEMS},
  author={Jann-Long Chern},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180305212101579504966},
  booktitle={TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY},
  year={2018},
}
Jann-Long Chern. UNIQUENESS OF POSITIVE SOLUTION TO SOME COUPLED COOPERATIVE VARIATIONAL ELLIPTIC SYSTEMS. 2018. In TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180305212101579504966.
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