Dynamical approach for positive solutions of semilinear elliptic problems in unbounded domains
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...
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| Опубліковано в: : | Нелинейные граничные задачи |
|---|---|
| Дата: | 2004 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2004
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/169169 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862704133528616960 |
|---|---|
| author | Berestycki, H. Efendiev, M. Zelik, S. |
| author_facet | Berestycki, H. Efendiev, M. Zelik, S. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Нелинейные граничные задачи |
| description | 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 properties of positive solutions as |x| → ∞ oo are also established in three dimensional case Ω ⊂ R³.
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| first_indexed | 2025-12-07T16:50:29Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-169169 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0236-0497 |
| language | English |
| last_indexed | 2025-12-07T16:50:29Z |
| publishDate | 2004 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Berestycki, H. Efendiev, M. Zelik, S. 2020-06-07T16:18:12Z 2020-06-07T16:18:12Z 2004 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. 0236-0497 https://nasplib.isofts.kiev.ua/handle/123456789/169169 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 properties of positive solutions as |x| → ∞ oo are also established in three dimensional case Ω ⊂ R³. This research is partially supported by INTAS project no. 00-899. en Інститут прикладної математики і механіки НАН України Нелинейные граничные задачи Dynamical approach for positive solutions of semilinear elliptic problems in unbounded domains Article published earlier |
| spellingShingle | Dynamical approach for positive solutions of semilinear elliptic problems in unbounded domains Berestycki, H. Efendiev, M. Zelik, S. |
| title | Dynamical approach for positive solutions of semilinear elliptic problems in unbounded domains |
| title_full | Dynamical approach for positive solutions of semilinear elliptic problems in unbounded domains |
| title_fullStr | Dynamical approach for positive solutions of semilinear elliptic problems in unbounded domains |
| title_full_unstemmed | Dynamical approach for positive solutions of semilinear elliptic problems in unbounded domains |
| title_short | Dynamical approach for positive solutions of semilinear elliptic problems in unbounded domains |
| title_sort | dynamical approach for positive solutions of semilinear elliptic problems in unbounded domains |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/169169 |
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