Bounded Components of Positive Solutions of Nonlinear Abstract Equations
In this work a general class of nonlinear abstract equations satisfying a generalized strong maximum principle is considered in order to show that any bounded component of positive solutions bifurcating from the curve of trivial states (λ, u) = (λ, 0) at a nonlinear eigenvalue λ = λ₀ must meet the c...
Збережено в:
| Опубліковано в: : | Український математичний вісник |
|---|---|
| Дата: | 2005 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2005
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/124580 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Bounded Components of Positive Solutions of Nonlinear Abstract Equations / S. Cano-Casanova, J. Lopez-Gomez, M. Molina-Meyer // Український математичний вісник. — 2005. — Т. 2, № 1. — С. 38-51. — Бібліогр.: 13 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862656349901422592 |
|---|---|
| author | Cano-Casanova, S. Lopez-Gomez, J. Molina-Meyer, M. |
| author_facet | Cano-Casanova, S. Lopez-Gomez, J. Molina-Meyer, M. |
| citation_txt | Bounded Components of Positive Solutions of Nonlinear Abstract Equations / S. Cano-Casanova, J. Lopez-Gomez, M. Molina-Meyer // Український математичний вісник. — 2005. — Т. 2, № 1. — С. 38-51. — Бібліогр.: 13 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | In this work a general class of nonlinear abstract equations satisfying a generalized strong maximum principle is considered in order to show that any bounded component of positive solutions bifurcating from the curve of trivial states (λ, u) = (λ, 0) at a nonlinear eigenvalue λ = λ₀ must meet the curve of trivial states (λ, 0) at another singular value λ₁ ≠ λ₀. Since the unilateral theorems of P. H. Rabinowitz [13, Theorems 1.27 and 1.40] are not true as originally stated (c.f. the counterexample of E. N. Dancer [6]), in order to get our main result the unilateral theorem of J. Lopez-Gomez [11, Theorem 6.4.3] is required.
|
| first_indexed | 2025-12-02T04:17:41Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124580 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-02T04:17:41Z |
| publishDate | 2005 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Cano-Casanova, S. Lopez-Gomez, J. Molina-Meyer, M. 2017-09-29T14:23:30Z 2017-09-29T14:23:30Z 2005 Bounded Components of Positive Solutions of Nonlinear Abstract Equations / S. Cano-Casanova, J. Lopez-Gomez, M. Molina-Meyer // Український математичний вісник. — 2005. — Т. 2, № 1. — С. 38-51. — Бібліогр.: 13 назв. — англ. 1810-3200 2000 MSC. 34A34, 34C23, 35B32, 35B50, 35J25. https://nasplib.isofts.kiev.ua/handle/123456789/124580 In this work a general class of nonlinear abstract equations satisfying a generalized strong maximum principle is considered in order to show that any bounded component of positive solutions bifurcating from the curve of trivial states (λ, u) = (λ, 0) at a nonlinear eigenvalue λ = λ₀ must meet the curve of trivial states (λ, 0) at another singular value λ₁ ≠ λ₀. Since the unilateral theorems of P. H. Rabinowitz [13, Theorems 1.27 and 1.40] are not true as originally stated (c.f. the counterexample of E. N. Dancer [6]), in order to get our main result the unilateral theorem of J. Lopez-Gomez [11, Theorem 6.4.3] is required. en Інститут прикладної математики і механіки НАН України Український математичний вісник Bounded Components of Positive Solutions of Nonlinear Abstract Equations Article published earlier |
| spellingShingle | Bounded Components of Positive Solutions of Nonlinear Abstract Equations Cano-Casanova, S. Lopez-Gomez, J. Molina-Meyer, M. |
| title | Bounded Components of Positive Solutions of Nonlinear Abstract Equations |
| title_full | Bounded Components of Positive Solutions of Nonlinear Abstract Equations |
| title_fullStr | Bounded Components of Positive Solutions of Nonlinear Abstract Equations |
| title_full_unstemmed | Bounded Components of Positive Solutions of Nonlinear Abstract Equations |
| title_short | Bounded Components of Positive Solutions of Nonlinear Abstract Equations |
| title_sort | bounded components of positive solutions of nonlinear abstract equations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/124580 |
| work_keys_str_mv | AT canocasanovas boundedcomponentsofpositivesolutionsofnonlinearabstractequations AT lopezgomezj boundedcomponentsofpositivesolutionsofnonlinearabstractequations AT molinameyerm boundedcomponentsofpositivesolutionsofnonlinearabstractequations |