Multiplicity of positive solutions to semilinear elliptic boundary value problems
We study semilinear elliptic boundary value problems of one parameter dependence where the number of positive solutions is discussed. Our main purpose is to characterize the critical value given by the infimum of such parameters for which positive solutions exist. Our approach is based on super- and...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1999-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337599000147 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552835231776768 |
|---|---|
| author | Kenichiro Umezu |
| author_facet | Kenichiro Umezu |
| author_sort | Kenichiro Umezu |
| collection | DOAJ |
| description | We study semilinear elliptic boundary value problems of one parameter dependence where the number of positive solutions is discussed. Our main purpose is to characterize the critical value given by the infimum of such parameters for which positive solutions exist. Our approach is based on super- and sub-solutions, and relies on the topological degree theory on the positive cones of ordered Banach spaces. A concrete example is also presented. |
| format | Article |
| id | doaj-art-2ff8a596f7134c68acfdef2cbbe412f7 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 1999-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2ff8a596f7134c68acfdef2cbbe412f72025-02-03T05:57:42ZengWileyAbstract and Applied Analysis1085-33751687-04091999-01-014319520810.1155/S1085337599000147Multiplicity of positive solutions to semilinear elliptic boundary value problemsKenichiro Umezu0Faculty of Liberal Arts and Sciences, Maebashi Institute of Technology, Maebashi 371-0816, JapanWe study semilinear elliptic boundary value problems of one parameter dependence where the number of positive solutions is discussed. Our main purpose is to characterize the critical value given by the infimum of such parameters for which positive solutions exist. Our approach is based on super- and sub-solutions, and relies on the topological degree theory on the positive cones of ordered Banach spaces. A concrete example is also presented.http://dx.doi.org/10.1155/S1085337599000147 |
| spellingShingle | Kenichiro Umezu Multiplicity of positive solutions to semilinear elliptic boundary value problems Abstract and Applied Analysis |
| title | Multiplicity of positive solutions to semilinear elliptic boundary value problems |
| title_full | Multiplicity of positive solutions to semilinear elliptic boundary value problems |
| title_fullStr | Multiplicity of positive solutions to semilinear elliptic boundary value problems |
| title_full_unstemmed | Multiplicity of positive solutions to semilinear elliptic boundary value problems |
| title_short | Multiplicity of positive solutions to semilinear elliptic boundary value problems |
| title_sort | multiplicity of positive solutions to semilinear elliptic boundary value problems |
| url | http://dx.doi.org/10.1155/S1085337599000147 |
| work_keys_str_mv | AT kenichiroumezu multiplicityofpositivesolutionstosemilinearellipticboundaryvalueproblems |