Dynamical approach for positive solutions of semilinear elliptic problems in unbounded domains

• Published in: Нелинейные граничные задачи
• Date: 2004
• ISSN: 0236-0497
• Main Authors: Berestycki, H., Efendiev, M., Zelik, S.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2004
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/169169
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Dynamical approach for positive solutions of semilinear elliptic problems in unbounded domains / H. Berestycki, M. Efendiev, S. Zelik // Нелинейные граничные задачи. — 2004. — Т. 14. — С. 3-15. — Бібліогр.: 27 назв. — англ.

We apply the trajectory dynamical systems approach to study the positive solutions of a semilinear elliptic problem in an unbounded domain tt. The existence of the global attractor for the trajectory dynamical system associated with this problem is proved. The symmetrization and stabilization proper...